Question

The distance a spring stretches varies directly as the amount of weight that is hanging on it. A weight of 2.5 pounds stretches a spring 18 inches. Find the stretch of the spring when a weight of 6.4 pounds is hanging on it.

Answer 1

varies directly means you use the equation y = kx agree?

Answer 2

Yes

Answer 3

good. so let's let y be the distance and x be the weight

when weight is 2.5 punds, distance is 18 inches.. so

18 = k(2.5)

can you solve for k?

Answer 4

k=7.2

Answer 5

right. so k is 7.2

now the question is..what is the distance when weight is 6.4 pounds

so the equation is just

y = (7.2)(6.4)

solve for y

Answer 6

46.08

Answer 7

right

Answer 8

Thank You!