Mt 3 12-05-04 Proportional And Non-proportional Functions

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1. 6.  If it is proportional or if you want a challenge, what is the rate of change (miles/hour)?  If it is not proportional, you may enter 0.

Explanation

The question is asking for the rate of change in miles per hour. The given options are 6 and 0. If the relationship is proportional, there is a constant rate of change, so the answer would be 6. If the relationship is not proportional, there is no rate of change, so the answer would be 0.

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Mt 3 12-05-04 Proportional And Non-proportional Functions - Quiz

This quiz titled 'MT 3 12-05-04 Proportional and Non-proportional Functions' assesses understanding of proportional and non-proportional relationships in functions. It tests skills in identifying these relationships and calculating... see morerates of change, crucial for algebraic reasoning and problem-solving. see less

2. 1. If it is proportional or if you want a challenge, what is the rate of change (dollars/point)?  Round to the nearest ten-thousandth (4 decimal digits).  Do not include the $ symbol.  If it is not proportional, enter 0.

Explanation

The given answer is 0.0056, .0056, 0. This means that the rate of change (dollars/point) is 0.0056. This indicates that for every 1 point increase, the value increases by $0.0056. Since the answer is not 0, it suggests that there is a proportional relationship between the rate of change and the points.

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3. 7.  If it is proportional or if you want a challenge, what is the rate of change (dollars/minutes)?  If it is not proportional, you may enter 0.

Explanation

The rate of change (dollars/minutes) is given by the three options provided: 0.10, 0, and 0.10. The first and third options, 0.10 and 0.10, are the same and indicate a rate of change of 0.10 dollars per minute. The second option, 0, indicates that there is no change in dollars per minute, meaning the rate of change is 0. Therefore, the correct answer is 0.10, 0, 0.10.

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4. 4.  If it is proportional or if you want a challenge, write the equation in the form of c = ..., using m for the independent variable and with a space on each sided of the equals sign, no parentheses.  Put the term with m before the constant term.  If it is not proportional, you may enter 0.

Explanation

The correct answer is c = 3.60m + 2.50, c = 3.6m + 2.5, c=3.60m+2.50, c=3.6m+2.5, 0. This is because the equation c = 3.60m + 2.50 represents a proportional relationship between the variables c and m. The coefficient of m is 3.60, which indicates that for every unit increase in m, c will increase by 3.60 units. The constant term 2.50 represents the initial value of c when m is 0. The other options are incorrect as they do not follow the correct format for representing the equation.

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5. 6.  If it is proportional or if you want a challenge, write equation in the form r = ..., using t as the other variable.  If it is not proportional, you may enter 0.

Explanation

The equation r = 6t + 4 represents a proportional relationship between r and t. This means that as t increases, r will also increase at a constant rate of 6. The +4 term represents an initial value or a y-intercept, indicating that when t is 0, r will be 4. Therefore, this equation satisfies the given condition of being proportional or a challenge. The second representation r=6t+4 is the same equation written in a different format. The third option 0 is given as a possible answer for when the relationship is not proportional.

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6. 7.  If it is proportional or if you want a challenge, write the equation in the form c = ..., using m as the other variable.  If it is not proportional, you may enter 0.

Explanation

The equation c = 0.10m + 4 represents a proportional relationship between c and m, where c is equal to 0.10 times m plus 4. This means that as the value of m increases, the value of c will also increase in a consistent and proportional manner. The equation c = 0.10m + 4, c=0.10m+4, c = .1m + 4, and c=.1m+4 are all equivalent forms of the same equation. The option 0 is not a valid equation as it does not represent a proportional relationship between c and m.

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7. 4. If it is proportional or if you want a challenge, what is the rate of change (dollars/mile)?  Do not include the $ symbol.  If it is not proportional, enter 0.

Explanation

The given answer is 3.60,0. This means that if the rate of change is proportional or if the person wants a challenge, the rate of change is 3.60 dollars per mile. However, if the rate of change is not proportional, then the rate of change is 0 dollars per mile.

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8. 3. If it is proportional or if you want a challenge, write an equation in the form of c = ..., using n for the independent variable and with a space on each sided of the equals sign.  There shouldn't be any parentheses.  If it is not proportional, enter 0.

Explanation

The correct answer is c = 6n. This equation represents a proportional relationship between c and n, where c is equal to 6 times n. This means that as the value of n increases or decreases, the value of c will also increase or decrease in a consistent manner, with a constant ratio of 6. The second equation, c=6n, is just a different way of writing the same equation.

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9. 5. If it is proportional or if you want a challenge, write the equation in the form h = ..., using t as the independent variable.  If it is not proportional, you may enter 0.

Explanation

The equation h = 9t represents a proportional relationship between h and t, where h is directly proportional to t with a constant of proportionality equal to 9. This means that as t increases or decreases, h will also increase or decrease in a linear manner, with a slope of 9. The second equation h=9t is the same as the first equation, just written in a different format. Therefore, both equations h = 9t and h=9t are correct representations of the relationship between h and t.

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10. 3. If it is proportional or if you want a challenge, whatis the rate of change (dollars/ticket)?  There shouldn't be any decimal digits.  Do not include the $ symbol.  If it is not proportional, enter 0.

Explanation

The rate of change is 6 dollars per ticket. This means that for every ticket sold, the price increases by 6 dollars.

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11. 8.  Is it proportional?

Explanation

The given answer "Yes" indicates that the situation or scenario being referred to is proportional. This means that there is a direct relationship between two variables, such that an increase or decrease in one variable will result in a corresponding increase or decrease in the other variable.

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12. 2. If it is proportional or if you want a challenge, whatis the rate of change (dollars/point)? Round to the nearest ten-thousandth (4 decimal digits).  Do not include the $ symbol.  If it is not proportional, enter 0.

Explanation

The rate of change is given as 0.0056 dollars/point. This means that for every point increase or decrease, the value changes by 0.0056 dollars.

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13. 3.  Is it proportional?

Explanation

The given correct answer is "Yes" because the question is asking whether something is proportional or not. Since the options are "Yes" and "No," selecting "Yes" implies that the thing in question is indeed proportional.

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14. 5.  If it is proportional or if you want a challenge, what is the rate of change (miles/hour)?  If it is not proportional, you may enter 0.

Explanation

The rate of change (miles/hour) is 9.

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15. 2.  Is it proportional?

Explanation

The given answer is "Yes" because the question asks whether something is proportional or not. Since the answer is "Yes," it implies that the thing being referred to is indeed proportional. However, without additional context or information, it is unclear what exactly is being referred to as proportional.

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16. 1. Is this proportional?

Explanation

The given question asks whether something is proportional or not. The answer "No" indicates that the given scenario or situation is not proportional. However, without any additional context or information, it is not possible to determine what exactly is being referred to as proportional or not.

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17. 8. If it is proportional or if you want a challenge, write the equation in the form d = ..., using m as the other variable.  If it is not proportional, you may enter 0.

Explanation

The equation given, d = 0.15m, represents a proportional relationship between d and m. This means that as the value of m increases or decreases, the value of d will also increase or decrease in direct proportion. The constant 0.15 represents the ratio between d and m, indicating that for every 1 unit increase in m, d will increase by 0.15 units. Therefore, the equation is in the form d = ..., using m as the other variable, as stated in the question.

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18. 8.  If it is proportional or if you want a challenge, what is the rate of change (dollars/minutes, no dollar sign)?  If it is not proportional, you may enter 0.

Explanation

The answer .15 and 0.15 are both correct because they represent the rate of change in dollars per minute. The question asks for the rate of change in dollars per minute, and both .15 and 0.15 represent the same value. The decimal point before the 15 indicates that it is a fraction of one, so both answers are equivalent.

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19. 5.  Is it proportional?

Explanation

The given answer is "Yes" because the question is asking whether something is proportional or not. Since the answer is "Yes," it implies that the given thing is indeed proportional. However, without any additional context or information, it is difficult to determine what exactly is being referred to as proportional.

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20. 4. Is this proportional?

Explanation

The answer is "No" because the question asks if something is proportional, implying that there are two variables being compared. However, the question does not provide any context or variables to determine if they are proportional or not. Therefore, without any additional information, it is not possible to determine if the given statement is proportional or not.

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21. 6. Is this proportional?

Explanation

The given question asks whether something is proportional or not. The answer "No" suggests that the thing in question is not proportional. However, without any context or specific information provided, it is not possible to determine what exactly is being referred to and why it is not proportional.

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22. 7. Is this proportional?

Explanation

The given question asks whether something is proportional or not. The answer provided is "No," indicating that the thing in question is not proportional.

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