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?

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Answer:

[tex]x=18\ miles[/tex]

Step-by-step explanation:

we have that

x -------> the number of miles between the airport and Michelle's home

The linear equation that represent this situation is

[tex]2.25x + 5 = 45.5[/tex]

Solve for x

Subtract 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]

Answer:

18

Step-by-step explanation:

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