A cab company charges $2 per ride when the passengers get into the vehicle, then each mile is an additional $1.50. Write an equation to represent this scenario.

This scenario is an example of a linear equation. Therefore, we can use slope-intercept form to represent the equation.

Slope-Intercept Form: y=mx+b
where m=slope and b=y-intercept.

In this scenario, m=1.50, because the rate is $1.50/mile, so the line will increase $1.50 as each mile is added. The y-intercept or b=2 because that is the constant starting point. Passengers are immediately charged 2 dollars for a ride, which never changes, it’s just a 2 dollar charge. Therefore, b=2.

Putting the equation into y=mx+b

y=1.50x+2 is your answer. The line will start at $2 and rise from there $1.50 per each mile.

y=1.50x+2

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