Question

mariam is baking cookies. she starts out with 5 cookies already prepared and bakes 8 cookies per hour.
mariams job is to fill a pool with water. she fills it at a rate of 13 gallons per minute.
mariam wants to rent a boat. the rental shop charges an initial fee of $8 plus $5 per hour to rent the boat.

Explanation:

Step1: Identify line equation form

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

Step2: Find y-intercept from graph

The line crosses the y-axis at $(0,5)$, so $b=5$.

Step3: Calculate slope of the line

Use points $(0,5)$ and $(1,13)$:
$$m=\frac{13-5}{1-0}=8$$

Step4: Match to scenario

The equation $y=8x+5$ means starting with 5 (initial value) and adding 8 per unit time, which matches the cookie scenario.

Answer:

Mariam is baking cookies. She starts out with 5 cookies already prepared and bakes 8 cookies per hour.