Question

A special type of weather balloon follows a path which can be represented by the formula h(t) = -9t�� + 900t, where h(t) is the height in cm after t minutes. Determine the value of h(70).

Answer 1

To determine the height h(70) of the weather balloon after 70 minutes, use the provided quadratic equation and substitute 70 for t to get h(70) = 18900 cm.

Step-by-step explanation:

The student has asked for the value of h(70), which represents the height of a weather balloon after 70 minutes, according to the given quadratic function h(t) = -9t² + 900t. To determine h(70), we simply substitute 70 for t in the equation:

h(70) = -9(70)² + 900(70)

Now performing the calculation:

h(70) = -9(4900) + 63000

h(70) = -44100 + 63000

h(70) = 18900 cm

So, the height of the balloon after 70 minutes is 18900 cm.