Fwam took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3.80 plus $2.25 per mile. The total fare was $33.05, not including the tip.

Question

10-09-2022
Mathematics

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Fwam took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3.80 plus $2.25 per mile. The total fare was $33.05, not including the tip.

Answer :

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rafikiedu08 rafikiedu08 · Answer 1 · 2022-09-14T03:35:48-04:00

The linear equation that represents this situation is given by 3.80+2.25m=33.05. the number of miles travelled is approximately 13.89 miles.

The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution.

Here it is given that the total fare is $33.05

The base fee for the cab is $3.80

Cost per mile is $2.25

Let the distance from Fwam's house and airport be m miles.

Therefore total cost for m miles=2.25m

Total Cost for the cab ride= 3.80+2.25m

But the total cost is $33.05

Hence:

3.80+2.25m=35.05

or, 2.25m=31.25

or, m=13.88888

or, m≈13.89 miles

Hence the distance from the house to the airport is approximately 13.89 miles , which can be calculated from the linear equation: 3.80+2.25m=35.05.

Disclaimer: the complete question is :

Fwam took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3.80 plus $2.25 per mile. The total fare was $33.05, not including the tip. Write and solve an linear equation which can be used to determine m, the number of miles in the taxi ride.

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