Find the constant of variation k for inverse variation. then write an equation for the inverse variation. y= 5 when x = 7.5 k = 37.5; y = 37.5/x k = 15; xy = 1.5 k = 2.5; y = 2.5/x k = 37.5; y=37.5x

The answer is below

Step-by-step explanation:

a) From 0 to 2 seconds the height of the balloon increases from 26 to 34 feet, the balloons height is increasing during the interval [0, 2]

b) From 2 to 4 seconds the height of the balloon remains the same at 34 feet, therefore the balloons height is the same during the interval (2, 4]

c) From 4 to 8 seconds the height of the balloon decreases from 34 to 30 feet while from 8 to 10 seconds the balloons height decreases from 30 to 0 feet. The balloons height is decreasing the fastest during the interval (8, 10]

d) At 10 seconds the balloon is 0 feet, this means it has landed on the ground, it would continue to be on the ground until it is thrown up again, therefore at 14 second the height of the balloon would be 0 feet (on the ground).