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 this

situation.

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.

Question

Mathematics

Guest

9 June, 05:53

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 this

situation.

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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Answers (1)

Know the Answer?

Payton Blake · Answer 1

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.)