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

f(x) = 2.15(0.98)x

is the price of fuel a increasing or decreasing and by what percentage per month? justify your answer.

The price of fuel A decreases by 2 % each month.

Step-by-step explanation:

We are given a function for the price of fuel which depends on the number of months.

f(x) = 2.15

In the month 0, the price of the fuel is 2.15 and by the next month the price is 0.98 times the price of previous month.Hence the price of the fuel A decreases.

The initial price = 2.15

In the next month it reduces to 2.15 0.98 =  2.10

This means that the price becomes 0.98 times of the previous month and hence each month the price decreases by 2%.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,