Question

The height h, in inches, of the juice in a 20- oz bottle depends on the amount of juice x, in ounces, that you drink. This situation is represented by the function rule f(h) = 6-0.3x. Find h(7) and explain its meaning.

Answer 1

The height h(7) is 3.9 inches, which represents the remaining juice in the bottle after drinking 7 ounces.

Step-by-step explanation:

The function rule f(h) = 6 - 0.3x represents the height h, in inches, of the juice in a 20-oz bottle as it depends on the amount of juice x, in ounces, that you drink. To find h(7), substitute x = 7 into the function:

f(h) = 6 - 0.3(7)

f(h) = 6 - 2.1

f(h) = 3.9

Therefore, h(7) is equal to 3.9 inches. This means that if you drink 7 ounces of juice from the bottle, the remaining juice will have a height of 3.9 inches.