Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5.5 graphing lines with slope and y - intercept you have to pay $5 to e…

Question

5.5 graphing lines with slope and y - intercept you have to pay $5 to enter a parking garage. then, you pay an additional $2 per hour that you are parked. write an equation in slope - intercept form that represents this linear relationship. do not include any spaces in your answer

Explanation:

Step1: Identify slope - intercept form

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

Step2: Determine the values of $m$ and $b$

The initial cost to enter the parking garage is the y - intercept $b$. Here, $b = 5$. The cost per hour is the slope $m$. Here, $m = 2$. Let $y$ be the total cost and $x$ be the number of hours parked.

Step3: Write the equation

Substitute $m = 2$ and $b = 5$ into $y=mx + b$. We get $y = 2x+5$.

Answer:

y=2x+5