Question

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.

Answer 1

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

Step-by-step 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.