Question

Part A Anna took a taxi home from the airport. ​ ​The taxi fare was \$ 2.1$2.1 per mile, she gave the driver a tip of \$ 5$5, and ​Anna paid a total of \$ 49.10$49.10. ​ ​Write an equation to determine the distance in miles \left(x\right)(x) between the airport and Anna's home. Answer: ​ Part B Find the distance between the airport and Anna's home. Answer: miles.

Answer 1

44.10 = 2.1x

x = 21 miles

Explanation:

Cost per mile = $2.1

Driver tip = $5

Total amount paid = $49.10

Let

x = number of miles

​Write an equation to determine the distance in miles \left(x\right)(x) between the airport and Anna's home.

Total cost of miles = Total amount paid - Driver tip

= $49.10 - $5

= $44.10

Equation to determine distance in miles

Total cost of miles = cost per mile * number of miles

44.10 = 2.1x

Find the distance between the airport and Anna's home

44.10 = 2.1x

Divide both sides by 2.1

44.10 / 2.1 = 2.1x / 2.1

21 = x

x = 21 miles