Question

a. Determine whether the function relating the year to the number of viewers is linear or nonlinear for each show. b. Which show has more viewers in its sixth year? Show A or Show B?

Answer 1

Notice that:

1.- The number of viewers in millions of show A can be computed using the following expression

`7(0.9)^t,`

which is not a linear equation.

2.- The number of viewers of show B can be computed using the following expression:

`5,000,000-(200,000t),`

which is a linear expression.

Now, after 6 years, show A will have:

`7(0.9)^6=3.72`

millions of viewers and show B will have

`5,000,000-200,000(6)=3,800,000`

viewers.

Answer:

The function for Show A is nonlinear.

The function for Show B is linear.

Show B will have more viewers.