Question

Think About the Process Robin works as a customer service representative. She knows that the amount in dollars of her yearly bonus is represented by the expression -0.2x + 672, where x is the number of complaints customers had about her during the year. To find her bonus if she gets 15 complaints, she substitutes 15 for x. What should be her next step? What would her bonus be?

a) Use the Distributive Property.
b) Multiply -0.2 by 15.
c) Add 15 and 672.
d) Her bonus would be 672 - 0.2.

Answer 1

To calculate her yearly bonus, Robin should multiply 15 by -0.2 to account for the complaints and then add the result to 672. Performing this calculation shows that Robin's bonus would be $669.

Step-by-step explanation:

Robin's yearly bonus can be calculated by substituting x with the number of complaints in the expression -0.2x + 672. Since she received 15 complaints, she substituted 15 for x. Hence, the next step Robin should take is to multiply -0.2 by 15. This is the correct method of simplifying the expression given the information provided.

By performing this calculation, we find: (-0.2) × 15 = -3

Now, with this value, we can determine her bonus by adding 672 (her base bonus without any complaints) to the product of -0.2 and 15, which accounts for the deduction because of the complaints.
672 + (-3) = 669. Therefore, her bonus would be $669.