Question

Function h models an object's height in feet after x seconds have passed. Which equation shows that the object's height increased by 100 feet over the first 15-second period?

A. h(15) 100

B. h(100) = 15

C. h(15) - h(0) = 100


`d. (h15 - h(0))/(15) = 100`
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Answer 1

C

Explanation:

We know that function h represents an object's height in feet after x seconds.

In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.

Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.

Therefore, neither A nor B are correct.

Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.

In other words, the object's height increased by 100 feet over the first 15-second period.

Option C is correct.

For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.