The amount of paint needed to cover a wall varies directly with the area of the wall. If 5 gallons of paint are needed to cover 200 square feet, how many gallons of paint are needed to cover 350 square feet? __________gallons .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of direct variation and its application in a real-world context. The student needs to determine the constant of variation and then use it to find the amount of paint needed for a different area.
Key Concept Explanation
In direct variation, the relationship between two variables and can be expressed as , where is the constant of variation. Here, the amount of paint needed ( ) varies directly with the area of the wall ( ), so .
Step-by-step Solution
1. Identify the given values: gallons when square feet.
2. Use the formula
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