Question

compare rate of change, proportional rep
question
two friends, luke and taub, took summer jobs. the equation $y = 25x$ represents lukes earnings in dollars and cents, $y$, for working $x$ hours. taub earned $\\$471.20$ in 31 hours.
how much less per hour does taub earn than luke?
answer
attempt 1 out of 2
$\square$ per hour

Explanation:

Step1: Find Luke's hourly rate

From the equation \( y = 25x \), the coefficient of \( x \) is the hourly rate. So Luke earns \( \$25 \) per hour.

Step2: Calculate Taub's hourly rate

Taub earned \( \$471.20 \) in 31 hours. The hourly rate is total earnings divided by hours worked. So Taub's rate is \( \frac{471.20}{31} \).
Calculating \( \frac{471.20}{31} = 15.2 \) dollars per hour.

Step3: Find the difference in hourly rates

Subtract Taub's rate from Luke's rate: \( 25 - 15.2 = 9.8 \).

Answer:

\( 9.8 \)