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Please help me answer thisQuestion and options are in the picture below

Please help me answer thisQuestion and options are in the picture below-example-1
User LeY
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The situation is represented by a linear form since it has an initial value and a constant rate of change (fee per mile):

Linear situations are represented by the following:


\begin{gathered} y=mx+b \\ \text{where,} \\ b=\text{initial value} \\ m=\text{constant rate of change} \end{gathered}

Then, since Eddie has $15 to spend, he has to spend $15 or less:


\text{\$1}.75+\text{\$}0.25x\leq\text{\$}15

Now, solve for x to determine gow many miles Eddie can travel:


\begin{gathered} \text{Subtract \$1.75 on each side:} \\ 1.75-1.75+0.25x\leq15-1.75 \\ \text{Divide by 0.25 both sides:} \\ (0.25)/(0.25)x\leq(13.25)/(0.25) \\ x\leq53 \end{gathered}

He can travel 53 miles. The answer would be A.

User Eklavya
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