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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 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)
  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.)
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