Question

luke makes $55,000 and is getting annual raises of $2,500. kajuan makes $62,000, with annual raises of $2,000. which equation best represents how many years, y, it will take for luke and kajuan to make the same salary?
$55,000 + 2,500x = 62,000 - 2,000x$
$55,000x - 2,500 = 62,000x + 2,000$
$55,000 + 2,500x = 62,000 + 2,000x$
$55,000x + 2,500 = 62,000x + 2,000$
possible points: 7.14

Explanation:

Step1: Analyze Luke's salary growth

Luke's initial salary is $55,000, and he gets an annual raise of $2,500. So after \( x \) years, his salary will be \( 55000 + 2500x \).

Step2: Analyze KaJuan's salary growth

KaJuan's initial salary is $62,000, and he gets an annual raise of $2,000. So after \( x \) years, his salary will be \( 62000 + 2000x \).

Step3: Set up the equation for equal salaries

We want to find when their salaries are equal, so we set Luke's salary equal to KaJuan's salary: \( 55000 + 2500x = 62000 + 2000x \).

Answer:

\( 55,000 + 2,500x = 62,000 + 2,000x \) (the third option)