Question

multiple choice 5 points 17 katelyn starts a job that pays $8.50 per hour. katelyn’s manager says that if her job reviews are favorable, she can expect annual pay rate increases of $0.75. which equation represents the relationship between years on the job, y, and pay per hour, p? $p = 8.50y + 0.75$ $p = 0.75y + 8.50$ $y = 0.75p + 8.50$ $y = 8.50p + 0.75$ clear my selection

Explanation:

Step 1: Identify Variables and Relationship

Let \( y \) be the years on the job and \( p \) be the pay per hour. The initial pay (when \( y = 0 \), starting the job) is \( \$8.50 \) per hour. The pay increases by \( \$0.75 \) per year. This is a linear relationship in the form \( p=\text{rate of increase} \times y+\text{initial pay} \).

Step 2: Determine the Equation

The rate of increase (slope) is \( 0.75 \) (dollars per year), and the initial pay (y - intercept) is \( 8.50 \). So the equation should be \( p = 0.75y+8.50 \).

Answer:

\( p = 0.75y + 8.50 \) (the third option)