To determine how much Frank will have to pay for traveling 3.00 miles on the toll lane, we can break down the calculation into a few simple steps:
1. Understanding the Base Fee: Each driver pays a base fee of [tex]$0.25 just to enter the toll lane.
2. Fee per Mile Traveled: Then, there is an additional fee per mile traveled. By examining the table, we see that the total cost increases by $[/tex]0.75 for each additional mile:
- 1 mile: [tex]$1.00 total
- 2 miles: $[/tex]1.75 total
- The base fee is [tex]$0.25, so the additional fee per mile, beyond the entry fee, is \($[/tex]1.00 - \[tex]$0.25 = \$[/tex]0.75\).
3. Total Cost Calculation: To find out how much Frank will pay after traveling 3.00 miles, we use the formula for the total cost as follows:
[tex]\[
\text{Total cost} = \text{Base fee} + (\text{Miles traveled} \times \text{Fee per mile})
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Total cost} = \$0.25 + (3.00 \times \$0.75)
\][/tex]
4. Performing the Calculation:
[tex]\[
\text{Total cost} = \$0.25 + \$2.25 = \$2.50
\][/tex]
Therefore, Frank will have to pay a total of $2.50 for traveling 3.00 miles on the toll lane.
