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 -0.75x +171, where x is the number of complaints customers had about her during the year. to find her bonus if she gets 10 complaints, she substitutes 10 for x. what should be her next step? what would her bonus be? what should be her next step? a. multiply -0.75 by 10. b. add 10 and 171. c. use the distributive property.

Explanation:

Step1: Analyze the expression

After substituting \( x = 10 \) into \( - 0.75x+171 \), we get \( - 0.75\times10 + 171 \). The order of operations (PEMDAS/BODMAS) tells us to perform multiplication before addition. So the next step is to multiply \( - 0.75 \) by \( 10 \).

Step2: Evaluate the options

• Option A: Matches the required next step (multiply \( - 0.75 \) by \( 10 \)).
• Option B: Adding \( 10 \) and \( 171 \) is incorrect as we need to multiply \( - 0.75 \) and \( 10 \) first.
• Option C: The distributive property is not needed here as we just have a simple substitution and then multiplication/ addition.

Answer:

A. Multiply -0.75 by 10.