Question

Y = 15x + 10, where y is the total cost of renting 1 bicycle on the boardwalk for x hours. Determine whether the function is proportional or non-proportional. Explain.

Answer 1

The function is non-proportional.

Explanation:

If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.

`y=15x+10`

Plug 0 into the equation as x

`y=15(0)+10\\y=10`

When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.

I hope this helps!