A solid waste disposal plan proposes to reduce the amount of garbage each person throws out by 3% each year. This year, each person threw out an average of 1800 lb of garbage. The function y equals 1800 times 0.97 Superscript x models the average amount of garbage each person will throw out each year after x years. Graph the function.

Question

A solid waste disposal plan proposes to reduce the amount of garbage each person throws out by 3% each year. This year, each person threw out an average of 1800 lb of garbage. The function y equals 1800 times 0.97 Superscript x models the average amount of garbage each person will throw out each year after x years. Graph the function.

Question content area bottom left
Part 1
Choose the correct graph on the right.
.
.
.
Question content area bottom right
Part 1
A.
0
30
0
2400
x
y

x y graph
B.
0
6
0
3000
x
y

x y graph
C.
0
30
0
2400
x
y

x y graph
D.
0
6
0
3000
x
y

x y graph

Answer 1

The correct answer is C. The graph should start at (0, 1800) and decrease by 3% each year, so it should have a negative slope. The range of the y-axis should go up to 2400, as that is the highest value possible for the amount of garbage each person can throw out. The range of the x-axis should go up to 30, as that is the time period specified for the reduction.