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  • 21-05-2020
  • Mathematics
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  • 21-05-2020

Traveling [tex]m[/tex] miles on this taxi costs

[tex]c=2.5+3.25m[/tex]

In fact, we spend 2.50 no matter what, and then we add 3.25 (i.e. the cost of a mile) multiplied by the number of miles.

This quantity has to be less than or equal to 61, so we have

[tex]2.5+3.25m\leq 61[/tex]

Solving for [tex]m[/tex], we start by subtracting 2.5 from both sides:

[tex]3.25m\leq 58.5[/tex]

Then, we divide both sides by 3.25:

[tex]m\leq 18[/tex]

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