Question

Barbara requires 2 gallons of paint to cover an area of 800 square feet. Identify the graph for the relationship from quantity to the area covered, and the parent function that best describes it. Then use the graph to estimate how many gallons of paint Barbara requires to paint an area of 2,400 square feet.

Answer 1

Answer:

6

Step-by-step explanation:

x = area to be painted

y = gallons of paint needed

we know already one point of that function/graph :

x = 800

y = 2

so, for a simple relationship between the 2 variables we can assume

y = ax

2 = a×800

a = 2/800 = 1/400

so, we get

y = (1/400) x

for 2400 ft²

y = 1/400 × 2400 = 1/4 × 24 = 24/4 = 6

she needs 6 gallons of paint for 2400 ft².

Answer 2

6 gallons of paint are required to cover 2400 ft² area.

Graph options aren't given ; however, we could still obtain the required solution using the information given :

2 gallons covers 800 ft²

Let the number of gallons to cover 2400 feets = x

Using cross multiplication :

2 gallons = 800 feets

x gallons = 2400 feets

Cross multiply :

800 × x = 2400 × 2

800x = 4800

Divide both sides by 800

x = 4800 / 8

x = 6

Hence, 6 gallons of paint are required to cover 2400 ft².

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