The coiled spring of a toy directly supports the weight of a child. The spring is compressed a distance of 2.9 inches by the weight of a 30-pound child. The toy will not work properly if its spring is compressed more than 4 inches. What is the value of the constant of variation? What is the weight of the heaviest child who should be allowed to use the toy?

1 answer

F = kx, so
30 = 2.9k
max weight is 4k