# Quiz 1: Chapter 1

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Tcraigsmith
T
Tcraigsmith
Community Contributor
Quizzes Created: 2 | Total Attempts: 1,325
Questions: 15 | Attempts: 603

Settings

Reviewing concepts from Sections 1.1-1.4

• 1.

C.
• 2.

### Table A x 5 6 7 4 9 y -9 -5 -7 6 4 Table B x 4 7 3 15 8 y -4 -1 4 3 3 Usa Table B to find y = f(4).

• A.

-4

• B.

3

• C.

9

• D.

6

A. -4
Explanation
Looking at Table B, we can see that when x = 4, y = -4. Therefore, the value of y when x = 4 is -4.

Rate this question:

• 3.

### Does  describe y as a function of x?

• A.

True

• B.

False

A. True
Explanation
The given correct answer is true because the question is asking if y is described as a function of x. If y is described as a function of x, it means that for every value of x, there is a unique value of y. This implies that there is a clear relationship between x and y, where the value of y depends on the value of x. Therefore, the statement "Does describe y as a function of x?" is true.

Rate this question:

• 4.

### Table A x 5 6 7 4 9 y 4 -5 -7 6 4 Table B x 4 7 3 15 8 y -4 -1 4 3 3 Does Table A describe x as function of y?

• A.

Yes

• B.

No

B. No
Explanation
Table A does not describe x as a function of y because for the value of y=4, there are two different corresponding values of x (5 and 9). In a function, each input (y) should have only one unique output (x), but in this case, there is a repetition of the input value y=4. Therefore, Table A does not satisfy the criteria for a function.

Rate this question:

• 5.

### One line passes through the points (-12, 16) and (-1, 38), and a second line has equation 2y + x = 23. Are the line parallel, perpendicular, or neither?

• A.

Parallel

• B.

Perpendicular

• C.

Neither

B. Perpendicular
Explanation
The two lines are perpendicular because the product of their slopes is -1. The slope of the first line can be found using the formula (y2 - y1) / (x2 - x1), which gives (38 - 16) / (-1 - (-12)) = 22/11 = 2. The slope of the second line can be found by rearranging the equation 2y + x = 23 to y = -(1/2)x + 23/2, which has a slope of -1/2. The product of the slopes (-1/2) * 2 = -1, indicating that the lines are perpendicular.

Rate this question:

• 6.

B.
• 7.

### Write the equation that passes through (5, -3) and is parallel to the line with equation 2x + y = -3.

y = -2x + 7
y=-2x+7
y = -2x+7
y = -2x+7
Explanation

Rate this question:

• 8.

### For the function , compute the average rate of change between x = -1 and x = 2.

3
m = 3
Explanation
The average rate of change between x = -1 and x = 2 is determined by finding the difference in the function values at these two points and dividing it by the difference in the x-values. In this case, the function value is constant at 3 for all x-values, so the average rate of change is also constant and equal to 3.

Rate this question:

• 9.

### The average salary of a classroom teacher in the United States is given by f(t) = 982.06t + 32,903.77, where t is the number of years from 1990. What was the average salary in 2000?

42724.37
\$42724.37
\$42,724.37
f(x) = 42, 724.37
f(x) = 42724.37
Explanation
The given function f(t) represents the average salary of a classroom teacher in the United States based on the number of years from 1990. To find the average salary in 2000, we need to substitute t = 10 (since 2000 is 10 years after 1990) into the function.

f(t) = 982.06t + 32,903.77
f(10) = 982.06(10) + 32,903.77
f(10) = 9,820.6 + 32,903.77
f(10) = 42,724.37

Therefore, the average salary in 2000 is \$42,724.37.

Rate this question:

• 10.

### The equation of the line that fits the data points in the table is f(a) = 0.017924A + 0.01. Use the equation to find f(28000).

501.882
501.88
f(a) = 501.882
f(a)=501.882
Explanation
The given equation f(a) = 0.017924A + 0.01 represents a linear relationship between the variable a and the function f(a). To find f(28000), we substitute 28000 for A in the equation and solve for f(a). Therefore, f(28000) = 0.017924(28000) + 0.01 = 501.882.

Rate this question:

• 11.

### A company has revenue given by R(x) =564x dollars and total cost given by C(x) = 40,000 + 64x dollars, where x is the number of units poroduced and sold. Write the profit function.

P(x) = 500x - 40000
P(x)=500x-40000
P(x) = 500x - 40,000
Explanation
Remember P(x) = R(x) - C(X). Your answer should be in simplest form.

Rate this question:

• 12.

10
• 13.

### A company has determined that its profit for product can be described by a linear function. The profit from the production and sale of 150 units is \$455, and the profit from 250 units is \$895. Write the equation of the profit function P(x) for this product.

P(x) = 4.4x - 205
P(x)=4.4x-205
Explanation
Remember P(x) = R(x) - C(X). Your answer should be in simplest form.

Rate this question:

• 14.

### Whice of the following equations is the point-slope form for a linear equation?

• A.

Ax + by = c

• B.

Y = mx + b

• C.
• D.

Y = b

C.
Explanation
The correct answer is "y = mx + b". This equation is in the point-slope form for a linear equation, where "m" represents the slope of the line and "b" represents the y-intercept. This form allows us to easily identify the slope and y-intercept of the line by comparing the equation to the standard form, y = mx + c.

Rate this question:

• 15.

### Which of the following graphs represents the function ?

B.

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• Mar 17, 2023
Quiz Edited by
ProProfs Editorial Team
• Aug 21, 2013
Quiz Created by
Tcraigsmith

Related Topics