Question

1. a taxi fare is calculated with the formula $f = 2.50 + 0.75d$. what does d stand for in this formula?

a. day of the ride
b. number of stops
c. total cost
d. distance of the ride in miles

Explanation:

To determine what \( d \) stands for in the taxi fare formula \( F = 2.50 + 0.75d \), we analyze the context of taxi fares. Taxi fares typically depend on a base fee (here, \( 2.50 \)) and a variable fee based on distance traveled. The term \( 0.75d \) suggests a rate per unit of \( d \).

• Option a (Day of the ride) is irrelevant to fare calculation.
• Option b (Number of stops) is not typically a standard variable in a linear fare formula like this.
• Option c (Total cost) is represented by \( F \), not \( d \).
• Option d (Distance of the ride in miles) makes sense because the fare would increase with the distance traveled, and \( 0.75 \) could be the cost per mile, multiplied by \( d \) (distance) to get the variable portion of the fare.

Answer:

d. Distance of the ride in miles