7 March, 21:07

# 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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1. 7 March, 21:28
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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.