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kompoz [17]
3 years ago
11

Please help me solve this thanks

Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0

Answer:

A

Step-by-step explanation:

let r represent rate and d distance.

Given that r varies directly as d² then the equation relating them is

r = kd² ← k is the constant of variation

To find k use the condition r = 4 when d = 15, then

4 = k × 15² = 225k ( divide both sides by 225 )

k = \frac{4}{225}

r = \frac{4}{225} d²  ← equation of variation

When r = 9, then

9 = \frac{4}{225}d² ( multiply both sides by 225 )

2025 = 4d² ( divide both sides by 4 )

506.25 = d² ( take the square root of both sides )

d = \sqrt{506.25} = 22.5 = 22 \frac{1}{2} → A

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