Question

to rent a taxi in baltimore, the taxi service charges a flat rate of $27.50 and an additional $2.70 per mile driven. write an equation in slope - intercept form where x represents the distance of the trip, and y represents the amount the taxi service would charge to drive that distance. show your work here y =

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Identify slope and y - intercept

The flat rate of $\$27.50$ is the initial cost (y - intercept), so $b = 27.50$. The cost per mile of $\$2.70$ is the rate of change (slope), so $m=2.70$.

Step3: Write the equation

Substitute $m = 2.70$ and $b = 27.50$ into $y=mx + b$. We get $y=2.7x + 27.5$.

Answer:

$y = 2.7x+27.5$