A solid waste disposal plan proposes to reduce the amount of garbage each person throws out by 2% each year. During a year, the average person throws out approximately 1500 pounds of garbage. The function g (x) = 1500 ∙ (0.98) x models the average amount of garbage per person after x amount of years. How many pounds of garbage will the average person throw out ten years from now if the plan is followed?

The actual waste disposed

= 14406

Step-by-step explanation:

The formula given for waste disposal is

g (x) = 1500 * (0.98) * x

And x is the number of year ... in this case x is ten 10 years.

g (x) = 1500 * (0.98) * 10

g (x) = 14700.

But the waste disposal is reduced by 2%

Two percent of 14700 = (2/100) * 14700

= 294

The actual waste disposed

= 14700 - 294

= 14406

14,700 pounds

Step-by-step explanation:

In this question, we are asked to calculate the amount of garbage that is to be thrown out by the average person, given that a particular function that models the amount of garbage thrown out by a person is followed.

Firstly, we identify the particular model to use. This is explicit enough in the question. The model to use is given as;

g (x) = 1500. (0.98) X

Now, we have identified that x represents the number of years the garbage is thrown out for.

In this question, we can see that x equals 10. Now, what to do to calculate the amount of waste in pounds is to directly substitute 10 for x in the equation.

Mathematically;

g (10) = 1500. (0.98) (10)

g (10) = 14,700 pounds

This shows that after ten years, 14,700 tons of waste will have been disposed by the average person