Let's analyze the function \( C(m) = 2.5m + 5 \) step by step.
a) What is the cost per mile?
The cost per mile is represented by the coefficient of \( m \) in the function. Here, \( C(m) = 2.5m + 5 \), so the cost per mile is:
\[ \text{Cost per mile} = 2.5 \]
b) How much is the one-time charge to get in the taxi?
The one-time charge to get in the taxi is represented by the constant term in the function. In this case, the constant term is \( 5 \). Therefore, the one-time charge is:
\[ \text{One-time charge} = 5 \]
c) How much will the total cost be to ride 10 miles?
To find the total cost to ride 10 miles, we substitute \( m = 10 \) into the function:
\[ C(10) = 2.5(10) + 5 \] \[ C(10) = 25 + 5 \] \[ C(10) = 30 \]
Thus, the total cost to ride 10 miles is:
\[ \text{Total cost} = 30 \]
d) Does finding \( C(-5) \) make sense in the context of this function?
Finding \( C(-5) \) would imply that you want to find the cost for riding a negative distance of -5 miles. In practical terms, negative distance does not make sense in the context of riding in a taxi. Therefore, finding \( C(-5) \) does not make sense in this context.
Summary:
a) Cost per mile: 2.5
b) One-time charge: 5
c) Total cost for 10 miles: 30
d) Finding \( C(-5) \) does not make sense.