oceanside bike rental shop charges 16 dollars plus 9 dollars an hour for renting a bike. Alyssa paid 79 dollars to rent a bike.

Question

oceanside bike rental shop charges 16 dollars plus 9 dollars an hour for renting a bike. Alyssa paid 79 dollars to rent a bike. How many hours did she pay to have the bike checked out

Answer 1

This is a linear equation.

y = mx+b

y is the total cost.

The slope m is the rate: that's 9 dollars per hour.

x is the number of hours.

b is the initial value: that's 16 dollars.

y = 9x+16

 

The problem states that the cost was 79 dollars.

Substitute that for y and solve for x.

79 = 9x+16

63 = 9x

x = 7 hours