Equations

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3. A painter charges $17 an hour plus $35 for general supplies. Which of the following equations represents the total cost, y, for the painter working x hours?

Y = 35x + 17

Y = 17x + 35

Y = 42x

Y = 17x

4. Mona bought a PS-4 with money she borrowed from her mom. She made an initial payment to her mom of $25, and will pay $15 each month until the PS-4 is paid off. Which equation represents the relationship between m, the number of monthly payments Mona has made, and t, the total amount that Mona has paid her mom?

T = 15m + 25

T = 25m + 15

T = 15m - 25

T = 25m - 15

5. Which situation represents a proportional relationship?

The cost of buying 5 pairs of pants at $28.99 per pair

The cost of buying 6 pairs of shorts at $10.50 each plus the cost of a gift bag at $2.25

The equation for answer choice C would be written in y = kx form because there is no constant. Therefore, it is a proportional relationship.

Explanation

The equation for answer choice C would be written in y = kx form because there is no constant. Therefore, it is a proportional relationship.

6. Shonda will earn the same number of dollars every hour to add to the money she has already saved. The table shows the number of dollars Shonda will have at the end of x hours.
Shonda's Money
Number of Hours, x 1 4 8 13
Number of Dollars, y $47.50 $70 $100 $137.50
How many dollars has Shonda already saved, and how many dollars is she paid every hour?

Shonda has already saved $40 and she will earn $22.50 per hour.

Shonda has already saved $25 and she will earn $22.50 per hour.

Shonda has already saved $25 and she will earn $7.50 per hour.

Shonda has already saved $40 and she will earn $7.50 per hour.

If you enter y = 40 + 7.5x into the calculator, you will see the correct points in the table. y = 40 + 7.5x is the equation that matches answer choice D.

Explanation

If you enter y = 40 + 7.5x into the calculator, you will see the correct points in the table. y = 40 + 7.5x is the equation that matches answer choice D.