Question

Weather balloons are filled with hydrogen and released at various sites to measure and transmit data such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.1 ft3/s. Initially, the balloon has 5 ft3 of hydrogen. Find a linear function that models the volume of hydrogen in the balloon after t seconds.

Answer 1

Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t

Explanation:

Initial volume of hydrogen in the balloon = 5 ft³

Rate at which hydrogen is filling in the balloon = 0.1 ft³/s

Volume after 1 second = 5 + 0.1 x 1

Volume after 2 seconds = 5 + 0.1 x 2

Volume after 3 seconds = 5 + 0.1 x 3

Volume after 4 seconds = 5 + 0.1 x 4

Volume after 5 seconds = 5 + 0.1 x 5

Similarly

Volume after t seconds, V(t) = 5 + 0.1 x t = 5 + 0.1t

Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t