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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?

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 class=

Sagot :

Notice that:

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

[tex]7(0.9)^t,[/tex]

which is not a linear equation.

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

[tex]5,000,000-(200,000t),[/tex]

which is a linear expression.

Now, after 6 years, show A will have:

[tex]7(0.9)^6=3.72[/tex]

millions of viewers and show B will have

[tex]5,000,000-200,000(6)=3,800,000[/tex]

viewers.

Answer:

The function for Show A is nonlinear.

The function for Show B is linear.

Show B will have more viewers.