MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

Answer:Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1tStep-by-step explanation:Initial volume of hydrogen in the balloon = 5 ft³Rate at which hydrogen is filling in the balloon = 0.1 ft³/sVolume after 1 second = 5 + 0.1 x 1Volume after 2 seconds = 5 + 0.1 x 2Volume after 3 seconds = 5 + 0.1 x 3Volume after 4 seconds = 5 + 0.1 x 4Volume after 5 seconds = 5 + 0.1 x 5SimilarlyVolume after t seconds, V(t) = 5 + 0.1 x t = 5 + 0.1tLinear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t