Ann took a taxi home from the airport. The taxi fare was \$2.10$2.10 per mile, and she gave the driver a tip of \$5$5. Ann paid a total of \$49.10$49.10. Write an equation to determine the distance in miles (x)(x) between the airport and Ann's home. Find the distance between the airport and Ann's home. Miles
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the statement:
Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10.
Write an equation to determine the distance in miles (x) between the airport and Ann's home. Find the distance between the airport and Ann's home.
Solution:
The equation for the given statement can be represented as,
49.10 - 5 = 2.10x
To solve for the number of miles, we simply need to solve for x.
49.10 - 5 = 2.10x
44.10 = 2.10x
Divide both sides by 2.10 in order to determine the value of x.
2.10x/2.10 = 44.10/2.10
x = 21 miles
Final answer:
The distance between the airport and Ann's home is 21 miles.