Question

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

Answer 1

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.