Question

The amount Diego charges to detail an SUV is proportional to the time it takes him to detail the vehicle. Diego charges $37.50 to detail a SUV that takes 2.5 hours to complete. Which equation models the amount in dollars, d, Diego charges when it takes him h hours to detail the vehicle? Question 1 options: h = 15d d = 15h d = 93.75h h = 93.75

Answer 1

Answer:

$d = 15h$

Step-by-step explanation:

Given

$Charges\ \alpha\ Time$

Represent charges with d and time with h

So:

$d = \ 37.50$ when $t = 2.50\ hours$

Required

Determine the formula

$Charges\ \alpha\ Time$

In other words,

$d\ \alpha\ h$

Convert to an equation

$d = k * h$

Where

k = constant of proportion

Substitute values for Charges and Time

$37.50 = k * 2.5$

Solve for k

$k = 37.50/2.50$

$k = 15$

Substitute 15 for k in $d = k * h$

$d = 15 * h$

$d = 15h$

The above formula models the situation