Questions: Lemon, a scooter rental company, charges 3.25 for the first minute of a rental. Thereafter, the company charges an additional 0.25/minute.

Solution Steps

To calculate the total cost of renting a scooter for a given number of minutes, we need to consider the initial charge for the first minute and then add the cost for each additional minute. The first minute costs $3.25, and each subsequent minute costs $0.25. Therefore, the total cost can be calculated by adding the initial charge to the product of the number of additional minutes and the per-minute charge.

The rental cost consists of an initial charge for the first minute and a charge for each additional minute. The charges are defined as follows:

• Initial charge for the first minute: \( C_1 = 3.25 \)
• Additional charge per minute after the first: \( C_a = 0.25 \)

For a rental duration of \( t = 10 \) minutes, we first identify the number of additional minutes: \[ \text{Additional minutes} = t - 1 = 10 - 1 = 9 \] Now, we can calculate the total cost \( C_t \): \[ C_t = C_1 + (\text{Additional minutes} \times C_a) = 3.25 + (9 \times 0.25) \] Calculating the additional charge: \[ 9 \times 0.25 = 2.25 \] Thus, the total cost becomes: \[ C_t = 3.25 + 2.25 = 5.50 \]

Final Answer