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7 August, 18:32

A cab service charges its customers $60 for a 20 mile ride. Due to the increase in gas prices, a cab ride for 25 miles now costs $50 more than it would have at the original rate. Which of the following is true about the new rate for a cab ride?

a. The equation y = 5x represents the cost, y, for a cab ride of x miles at the new rate.

b. The equation y = 2x represents the cost, y, for a cab ride of x miles at the old rate ... At the new rate, the charge for 10 miles is $45.

c. The new rate is $3 more per mile than the old rate.

d. The old rate is $2 less per mile than the new rate.

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Answers (1)
  1. 7 August, 21:44
    0
    Option (d) The old rate is $2 less per mile than the new rate.

    Explanation:

    Data provided in the question:

    Cost for 20 mile ride = $60

    Therefore,

    original cost per mile = $60 : 20 = $3 per mile

    Now,

    Cost for 25 mile = $50 more than original rate

    Also,

    Original rate for 25 mile ride = 25 mile * original cost per mile

    = 25 * $3

    = $75

    Therefore,

    Total cost for 25 mile = $50 + $75

    = $125

    New cost per mile = $125 : 25 = $5 per mile

    Here, we can observe that old rate per mile (i. e $3 per mile) is $2 less than the new rate (i. e $5 per mile)

    Hence,

    Option (d) The old rate is $2 less per mile than the new rate.
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