The price of fuel may increase due to demand and decrease due to overproduction. emily 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)

Part A. The standard form of a rate equation is:

 y = Ao (1 + r)^x

Where,

Ao = represents the initial value

r = represents the rate of growth

Therefore rewriting the given f(x) equation in this form:

f(x) = 2.96 (1 + 0.04)^x

r = 0.04 = 4%

Hence, the price of fuel A is increasing each month by 4%.

We can prove this by assuming two values of x = 1 and 2 and getting the ratio:

f(x=2) / f(x=1) = 2.96(1.04)^2 / 2.96(1.04) = 1.04

Since ratio is 1.04, therefore there is in fact a 4% increase.

Part B. To determine the growth rate of fuel B, let us take the ratio of months 1 and 2.

3.22 / 3.04 = 1.06

r = 0.6 = 6%

Therefore the fuel with a greater percentage change in price per month is fuel B.

$27.5

step-by-step explanation:

$110.00 divided by 4