Question

interpreting the function given on a graph
primer needed (gallons) is on the y - axis, area to paint (square feet) is on the x - axis. the x - axis ranges from 0 to 1000, and the y - axis ranges from 1 to 5. the graph has horizontal line segments with points: (0,1) to (200,1), (200,2) to (400,2), (400,3) to (600,3), (600,4) to (800,4), (800,5) to (1000,5).
interpret the graph to determine the statement the manager at a building supply store can use to help a customer determine how much primer to purchase.
each gallon of primer will cover a dropdown of dropdown square feet.

Explanation:

Step1: Identify points on the graph

Looking at the graph, when \( y = 1 \) (1 gallon), \( x = 200 \) square feet. When \( y = 2 \), \( x = 400 \); \( y = 3 \), \( x = 600 \); \( y = 4 \), \( x = 800 \); \( y = 5 \), \( x = 1000 \).

Step2: Calculate the rate (square feet per gallon)

The rate is \( \frac{\text{Area}}{\text{Gallons}} \). Using the first point: \( \frac{200}{1}=200 \), second: \( \frac{400}{2} = 200 \), etc. So each gallon covers 200 square feet.

Answer:

Each gallon of primer will cover a \(\boldsymbol{\text{rate}}\) of \(\boldsymbol{200}\) square feet. (Note: The first blank is likely "rate" or similar term for the relationship, and the second is 200 based on the graph's proportionality.)