make a equation that represents this situation

Mathematics
Tutor: None Selected Time limit: 1 Day

The taxi fair is $2.40 for the first 1/2 mile and additional mileage charged t the rate of $.20 for each addional 0.1mile. You plan to give the driver a $2.00 tip.

Write an equation that represents this situation. Use m to represent the number of miles and c to represent the total cost.

May 10th, 2015

m represents the number of miles and 

c represents the total cost


Cost for the first 1/2 mile = $2.40

Distance traveled after 1/2 mile = m - (1/2) = m - 0.5

Cost for additional 0.1 mile = $0.20

So, cost for additional 1 mile = 10*0.20 = $2

So, cost for additional (m - 0.5) miles = $2(m - 0.5)

Tip amount = $2


So, total cost = Cost for the first 1/2 mile + cost for additional (m - 0.5) miles + Tip amount

c = 2.4 + 2(m - 0.5) + 2

c = 4.4 + 2m - 1

c = 2m + 3.4


So the equation representing the situation is

c = 2m + 3.4

May 10th, 2015

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