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

This is just a simple case of substitution and solving for the m which is the number of miles. Take the equation F = 2.25 + 0.20 (m-1). According to the given, the fare, or the F is 6.05 so with that, we can already solve the equation. this will be 6.05 = 2.25 + 0.20 (m-1). After that, all we have to do is just solve for the m. If we would solve for the m, we will end up with a final answer of 20. So all in all, the taxi was able to travel 20 miles on the 6.05 fare of Juan

Answer 2

The linear equation
`1.95x+2.50=27.46`

Isaac travel total distance=12.8 miles

Explanation:

Given

Apache Taxi Company charges to pick up a passenger = $2.50

Per mile charge=$1.95

Isaac pay charges when he go from one city to another =$27.46

Let total distance travel by Isaac=x miles

According to question

The linear equation is given by

1.95x+ 2.50=27.46

By solving this equation we find value of x

1.95x = 27.46-2.50

By subtraction property of equality

1.95x= 24.96

x=
`(24.96)/(1.95) =12.8`

By division property of equality

x=12.8

Hence, total distance travel by Isaac= 12.8 miles