Question

Val rented a bicycle while she was on vacation. She paid a flat tire rental fee of $55.00, plus $8.50 each day. The total cost was $123. Write an equation you can use to find the number of days she rented the bicycle.

Answer 1

The equation to find the number of days Val rented the bicycle is 123 = 55 + 8.50d. Subtracting the flat fee from the total and dividing by the daily fee shows she rented it for 8 days.

Step-by-step explanation:

To find the number of days Val rented the bicycle, we need to set up a linear equation. The equation will be based on the information that there is a flat rental fee plus a daily fee multiplied by the number of days she rented the bicycle. The total cost of the bicycle rental was $123, the flat rental fee was $55.00, and the daily cost was $8.50.

The equation to find the number of days (d) she rented the bicycle can be represented as:

Total Cost = Flat Rental Fee + (Daily Fee × Number of Days)

In this case, this translates to:

123 = 55 + 8.50d

To solve for 'd', subtract 55 from both sides:

123 - 55 = 8.50d

Then, divide by 8.50 to find the number of days:

d = (123 - 55) / 8.50

d = 68 / 8.50

d = 8 days

Therefore, Val rented the bicycle for 8 days.