Asap i will mark branliest 100 points

the price of fuel may increase due to demand and decrease due to overproduction. george 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) = 2.27(0.88)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) 3.44 3.30 3.17 3.04

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

answer:

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.

plz mark brainliest

answer: this graph is going up

step-by-step explanation: