Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was $24, not including the tip. How many miles did Mike travel by taxi on this ride?

3m+6=24

3m=18

m=6

So mike traveled 6 miles by taxi.

We know that the taxi driver chargers $3 per mile, so we say M is the mile variable, and for every M there is $3. So 3m+6 (initial fee) is the first part of the formula.

We set 3m+6=24 (24 being the total amount the taxi driver is charging)

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-02-15T13:28:52+01:00

Linear equation should models for the charge of taxi and miles travel by Mike by taxi. The total number of miles Mike travel by taxi on this ride is 6 miles.

What is linear equation?

Linear equation is the equation in which the highest power of the unknown variable is one. Linear equation are used to find the value of unknown variable of real world problem.

Given information-

The initial fee is charged by the taxi driver is $6.

The fee charged per mile by the taxi driver is $3.

The total fare was $24, not including the tip.

Let the Mike travel by taxi on this ride is m mile.

The initial fee is charged by the taxi driver is $6 which is fixed and the fee charged per mile by the taxi driver is $3 which varies with number of miles Mike travel.

Now as the total fare was $24. Thus the expression for it in terms of m can be given as,

[tex]3m+6=24[/tex]

Subtract the above equation by 6 both sides,

[tex]3m=24-6\\3m=18\\[/tex]

Divide by 3 both the sides as,

[tex]m=\dfrac{18}{3}\\m=6\rm miles[/tex]

Hence, the total number of miles Mike travel by taxi on this ride is 6 miles.

Learn more about the linear equation.

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