Question

The cost y to rent an off road vehicle is proportional to the time that you rent it. It costs $48 to rent it for 3 hours. Write and equation that represents the situation.

Answer 1

y = 16h is the equation that represents the situation, where "y" is the total cost to rent and "h" is the number of hours

Solution:

Given that, cost y to rent an off road vehicle is proportional to the time that you rent it

Let "y" be the cost to rent the road vehicle

Let "h" be the number of hours rented for

Then, by given statement,

$\text{ cost to rent the vehicle } \propto \text{ number of hours rented for }$

$y \propto h\\\\y = kh$ -------- eqn 1

Where "k" is the constant of proportionality

Given that it costs $ 48 to rent it for 3 hours

Therefore, y = 48 and h = 3

$48 = k \times 3\\\\k = \frac{48}{3} = 16$

Substitute k = 16 in eqn 1

$y = 16 \times h\\\\y = 16h$

Thus y = 16h is the equation that represents the situation