Ann took a taxi home from the airport. the taxi fare was \$2.10$2.10dollar sign, 2, point, 10 per mile, and she gave the driver a tip of \$5$5dollar sign, 5. ann paid a total of \$49.10$49.10dollar sign, 49, point, 10. write an equation to determine the distance in miles (x)(x)left parenthesis, x, right parenthesis between the airport and ann's home.

Distance = 21 miles.  

Step-by-step explanation:

Let x be the distance in miles between the airport and Ann's home.

We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.

We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:

Now let us solve our equation.

Therefore, the equation represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.

21

2.1x+5=49.1

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