Question
7.
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?
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?
Answers
GPT-4o mini
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**.
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**.