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?

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

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

step-by-step explanation:

y=mx+b

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.