Question

The Apache Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth?

Answer 1

Y= 2.50 + 1.95( x)

27.46 = 2.50 + 1.95(x)
+2.50 -2.50
29.96 = 1.95(x)
/ 1.95 / 1 .95

x = 15.4 Miles total

Answer 2

Isaac traveled 12.80 miles.

Explanation:

An Apache taxi company charges $2.50 to pick up a passenger.

Taxi company charges addition per mile = $1.95

Therefore, for x miles charges will be = $1.95x

Now total charges taken by the company will be

c(x) = 1.95x + 2.50

If c(x) = $27.46 then we have to calculate the distance covered by passenger will be calculated as

c(x) = 1.95x + 2.50

27.46 = 1.95x + 2.50

27.46 - 2.50 = 1.95x

`(24.96)/(1.95)=x`

x = 12.8 miles

Therefore, Isaac traveled 12.80 miles.