Decide whether the data in the table represent a linear function or an exponential function. explain how you know.
x y
1 162
2 54
3 18
4 6
5 2
a. the data represent an exponential function because there is a common ratio of 3.
b. the data represent a linear function because there is a common difference of 108.
c. the data represent a linear function because there is a common difference of –108.
d. the data represent an exponential function because there is a common ratio of 1/3.

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3