Question

a 2-mi cab ride costs $4.25. A 7-mi cab ride costs $8.50. which equation models the cost y of a cab ride that is x miles?

Answer 1

\(\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e~\color{#00ff00}t\color{#00ff49}o~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!\)

To solve this problem you have to calculate the initial cost.
for 2 miles, it's $4.25
for 7 miles, it's $8.50

That's an increase of $4.25 over 5 miles.
You divide 4.25 by 5, that would be the cost per mile.
\(\Large\frac{4.25}{5}= \large $0.85\)

Now you know that the cab rates 85 cents per mile.
All you have to do is multiply 0.85 by the amount of miles, and subtract that from the total cost. Then you'll have the initial cost.

Your equation model will be: \(\Large\bf initial~cost+ x(cost~per~mile) \)