Answer:
Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t
Step-by-step 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