Michelle took a taxi home from the airport. The taxi fare was $2.25 per mile, and she gave the driver a tip of $5. Michelle paid a total of $45.50. The equation 2.25x + 5 = 45.5 can be used to find the distance in miles (x) between the airport and Michelle's home. How many miles is it between the airport and Michelle's home?
Accepted Solution
A:
Answer:[tex]x=18\ miles[/tex]Step-by-step explanation:we have thatx -------> the number of miles between the airport and Michelle's homeThe linear equation that represent this situation is [tex]2.25x + 5 = 45.5[/tex]Solve for xSubtract 5 both sides[tex]2.25x + 5-5 = 45.5-5[/tex][tex]2.25x= 40.5[/tex]Divide by 2.25 both sides[tex]2.25x/2.25= 40.5/2.25[/tex][tex]x=40.5/2.25[/tex][tex]x=18\ miles[/tex]