Beth walks 0.5 miles on each trip to the park. How far will Beth walk if she makes 8 trips to the park?
1 answer:
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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 =
r = d² ← equation of variation
When r = 9, then
9 = d² ( multiply both sides by 225 )
2025 = 4d² ( divide both sides by 4 )
506.25 = d² ( take the square root of both sides )
d = = 22.5 = 22
→ A