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A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel? show work

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Answer:

Erica can travel 12.69 miles if she has at most $10 to spend on the cab ride

Step-by-step explanation:

Given that the taxi charges:

$1.75 flat rate, and $0.65 per mile.

This charges can be represented by the expression:

1.75 + 0.65m

where m is the additional number of miles.

If Erica has at most $10 to spend on the cab ride, then


1.75+0.65m\le10

Solving for m, we know how far she can travel.


\begin{gathered} 0.65m\le10-1.75 \\ 0.65m\le8.25 \\ m\le(8.25)/(0.65)=12.69 \end{gathered}

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