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

Respuesta :

Answer:

[tex]d = 15h[/tex]

Step-by-step explanation:

Given

[tex]Charges\ \alpha\ Time[/tex]

Represent charges with d and time with h

So:

[tex]d = \$37.50[/tex] when [tex]t = 2.50\ hours[/tex]

Required

Determine the formula

[tex]Charges\ \alpha\ Time[/tex]

In other words,

[tex]d\ \alpha\ h[/tex]

Convert to an equation

[tex]d = k * h[/tex]

Where

k = constant of proportion

Substitute values for Charges and Time

[tex]37.50 = k * 2.5[/tex]

Solve for k

[tex]k = 37.50/2.50[/tex]

[tex]k = 15[/tex]

Substitute 15 for k in [tex]d = k * h[/tex]

[tex]d = 15 * h[/tex]

[tex]d = 15h[/tex]

The above formula models the situation

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