Question

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.

Answer 1

Answer:

21

2.1x+5=49.1

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Step-by-step explanation:

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Answer 2

Answer:

$2.10x+5=49.10$

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:

$2.10x+5=49.10$

Now let us solve our equation.

$2.10x=49.10-5$

$2.10x=44.10$

$x=\frac{44.10}{2.10}=21$

Therefore, the equation $2.10x+5=49.10$ represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.