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Answer:
An equation for the function is C(m) = 35 + 2.5m
Step-by-step explanation:
Given:
Initial charge of the truck = $35
Dylan Drove = 2 miles
Total Cost after Driving 2 miles = $40
To Find:
Equation for the function C(m), representing the total cost of renting the truck if Dylan were to drive m miles.
Solution:
Let
The additional cost be x
Then
Total cost of renting will be = Initial charge of the truck + (number of miles X additional charge per mile)
We have
Total cost of renting = C(m)
number of miles = m
additional charge per mile = x
---------------------------------(1)
But After 2 miles
x = 2.5
Additional charge per mile = $2.5
C(m) = 35 + 2.5m