Question

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.

Answer 1

Answer:

$2.10x+5=49.10$

Step-by-step explanation:  

We have been given that 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.

Let x be the distance in miles between airport and Ann's home. The fare per mile taxi ride is $2.10, therefore, the fare for x miles of taxi ride will be 2.10x.

We can see that $5 will be constant value for our equation as it will remain same. $2.10x+5$ will be total amount paid by Ann for x miles of taxi ride including tip.  

We can write an equation to determine the distance between airport and Ann's home by equating fare of x miles plus tip given by Ann's to driver with total amount paid by Ann.

$2.10x+5=49.10$

Therefore, an equation representing the distance in miles between airport and Ann's home will be $2.10x+5=49.10$.