Question

The expected values of two television sets are predicted as follows.

The function below models the expected value in dollars, of television A after 3 years.
f(x) = 100(-2+4)
The expected value, in dollars, of television B is initially $360 and decreases by $90 each year. Let g(x) represent the expected value of television B after 3 years.
How does the graph of g(x) compare to the graph of f(x)?
a.The graph of g(x) has the lesser y-intercept.
b.The graph of g(x) has the greater 2-intercept.
c.The graph of g(x) has the greater y -intercept.
d.The graph of g(x) has the lesser x-intercept.

Answer 1

The graph of g(x) for Television B has the greater y-intercept compared to f(x) for Television A.

Step-by-step explanation:

To compare the graphs of f(x) and g(x), we need to evaluate both after 3 years. First, let's find the expected value of Television A using function f(x): f(x) = 100(-2+4) = 100(2) = 200 dollars.

Next, we will define the function for Television B, which decreases by $90 each year from an initial value of $360. After 3 years, g(x) = 360 - 90(3) = 360 - 270 = 90 dollars.

Now, comparing the y-intercepts of both functions: Television A starts at $200, and Television B starts at $360. Hence, g(x) has the greater y-intercept since $360 is greater than $200.