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.
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
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