Question

dana buys a plant. the plant starts out 5 centimeters tall and grows at a rate of 7 centimeters per week.
danas job is to fill a pool with water. he fills it at a rate of 12 gallons per minute.
dana is saving money. his account starts with $7 and he saves $5 per month.

Explanation:

Step1: Identify line equation form

Use slope-intercept form: $y = mx + b$, where $m$=slope, $b$=y-intercept.

Step2: Find y-intercept from graph

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

Step3: Calculate slope of the line

Use points $(0,5)$ and $(2,19)$:
$m = \frac{19-5}{2-0} = \frac{14}{2} = 7$

Step4: Match to real-world scenario

The line equation is $y=7x+5$, which matches a starting value of 5 and rate of 7 per unit time.

Answer:

Dana buys a plant. The plant starts out 5 centimeters tall and grows at a rate of 7 centimeters per week.