Question

The line models the cost of renting a bike. It costs $2 per hour plus a $5 deposit. Write an equation in slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike. How much does it cost to rent a bike for 3 hours? Write an equation in slope-intercept form for the line

y=2x+5
(Use integers or fractions for any numbers in the equation.)
It costs $__ to rent a bike for 3 hours.

Answer 1

The equation in slope-intercept form for the cost of renting a bike is y = 2x + 5, with x being hours rented and y being total cost. The cost for 3 hours of bike rental is $11.

Step-by-step explanation:

The equation to model the cost of renting a bike, where x is the number of hours a bike is rented and y is the total cost, is y = 2x + 5. This is in slope-intercept form, with the slope representing the cost per hour ($2) and the y-intercept representing the initial deposit ($5).

To calculate the cost to rent a bike for 3 hours, we plug in x = 3 into the equation:

y = 2(3) + 5

y = 6 + 5

y = 11

Therefore, it costs $11 to rent a bike for 3 hours.