Question

question 9 of 10
olivia received a $700 signing bonus when she accepted a job as a nurse. if
she makes $24 an hour, which equation models olivias total pay y in dollars
as it relates to the number of hours x that she works?

a. $y = 700x + 24$

b. $y = 24x - 700$

c. $y = 700x - 24$

d. $y = 24x + 700$

Explanation:

Step1: Identify the fixed and variable pay

The signing bonus of $700 is a fixed amount (doesn't depend on hours worked). The pay per hour is $24, so for \( x \) hours, the hourly pay is \( 24x \).

Step2: Form the total pay equation

Total pay \( y \) is the sum of the fixed bonus and the hourly pay. So \( y = 24x + 700 \), which matches option D.

Answer:

D. \( y = 24x + 700 \)