Answered

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A cab service charges a flat rate of $3.25 and an additional $.75 per mile. Ashley
has $10. What is the maximum number of miles Ashley can travel?

Sagot :

cinderofsoulsss

Answer:

Ashley can travel 10 miles with $10.

Step-by-step explanation:

This problem can be modeled with a linear equation:

[tex]y=mx+b\\y=0.75x+3.25[/tex]

where y is the total cost and x is the number of miles.

Given a y of 10, you can plug that in and solve for x:

[tex]10=0.75x+3.25\\0.75x=6.75\\x=9[/tex]

Ashley can travel 9 miles with $10. You can check that either by solving the equation in the other direction, or doing it logically like this:

If she can travel 9 miles at $0.75 per mile, that's $6.75.

[tex]9*0.75=6.75[/tex]

$6.75 + the flat rate of $3.25 is $10, so it works.

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