 Mathematics
1 March, 19:46

# 10. A cab company charges a flat rate of \$2 plus an additional \$0.50 for every mile traveled.a. Write an expression that can be used to determine the total cab fare for a distance of m miles.b. When Sara arrived at your destination, her cab fare was \$7.50. Write an equation to represent thissituation.c. How many miles did Sara travel?d. The cab company runs a promotion on holidays. The flat rate and the fee per mile are the same, but there is a \$1 discount off the fare when the distance traveled is greater than 10 miles. explain.e. Lupe's cab fare on a holiday was \$7.50. Did Lupe travel more than 10 miles? Justify your answer.

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1. 2 March, 08:33
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a.

f = total cab fare

m = distance travelled

f = 2 + 0.50m

b.

7.50 = 2 + 0.50m

c.

7.50 = 2 + 0.50m

7.50 - 2 = 0.50m

5.50 = 0.50m

5.50/0.50 = m

m = 11

Sara travelled 11 miles.

d.

f = 2 + 0.50m

f = 2 + 0.50 x 10

f = 2 + 5

f = 7

When the cab fare is over \$7.00 on the holidays, \$1 is discounted off the fare.

e.

Yes, Lupe traveled more than 10 miles. (refer to calculations used in c.)