N a certain​ year, the amount A of garbage in pounds produced after t days by an average household is given by Aequals 7.5t.

The answer is below

Step-by-step explanation:

In a certain​ year, the amount A of garbage in pounds produced after t days by an average household is given by A = 7.5t.

Plot a graph for t > 0

how many days it will take to get 200 pounds of garbage.

Solution:

a) Let the time in days (t) be on the x axis and the amount of garbage (A) in pounds be on the y axis. Therefore:

At t = 0; A = 7.5(0) = 0

At t = 10; A = 7.5(10) = 75

The graph was plotted using the geogebra online graphing tool.

b) number of days require to get 200 pounds of garbage can be gotten by finding the value t for which A = 200. Therefore:

A = 7.5t

t = A / 7.5 = 200 / 7.5

t = 26.67 days