Taxi fares are $3.50 for the first half mile and $0.75 fro each addditional quater mile. Write a rule for computing the fare for an n-mile trip by taxi.
fare = 3.50 + .75(4)(n - .5)
simplify that
To write a rule for computing the fare for an n-mile trip by taxi, we need to consider the given information:
- The fare for the first half mile is $3.50.
- After the first half mile, the fare increases by $0.75 for each additional quarter mile.
From this information, we can break down the total fare into two parts:
1. Fare for the first half mile: $3.50
2. Fare for each additional quarter mile: $0.75
To calculate the fare for an n-mile trip, we need to determine how many additional quarter miles are present in the n-mile distance.
Since there are 4 quarter miles in a mile, the number of additional quarter miles for n miles would be (4 * n) - 2.
Here's the rule for computing the fare for an n-mile trip:
Fare = $3.50 + ($0.75 * [(4 * n) - 2])
This rule takes into account the initial $3.50 fare for the first half mile and the additional $0.75 fare for each additional quarter mile in an n-mile trip.