7.

Question

A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?

Answer 1

To calculate the charge for the rides, we can use the formula \( c = 0.20m + 2.00 \), where \( c \) is the total cost and \( m \) is the number of miles traveled.

a. For a 1-mile ride:

\[ m = 1 \]

Substituting into the equation:

\[ c = 0.20(1) + 2.00 \] \[ c = 0.20 + 2.00 = 2.20 \]

So, the charge for a 1-mile ride is $2.20.

b. For a 2.7-mile ride:

\[ m = 2.7 \]

Substituting into the equation:

\[ c = 0.20(2.7) + 2.00 \] \[ c = 0.54 + 2.00 = 2.54 \]

So, the charge for a 2.7-mile ride is $2.54.