The price of fuel may increase due to demand and decrease due to overproduction. marco is studying the change in the price of two types of fuel, a and b, over time.

the price f(x), in dollars, of fuel a after x months is represented by the function below:

f(x) = 2.96(1.04)x

part a: is the price of fuel a increasing or decreasing and by what percentage per month? justify your answer. (5 points)

part b: the table below shows the price g(m), in dollars, of fuel b after m months:

m (number of months)
1
2
3
4
g(m) (price in dollars)
3.04
3.22
3.41
3.61

which type of fuel recorded a greater percentage change in price over the previous month? justify your answer. (5 points)