The expected values of two television sets are predicted as follows.(help a sis out)

The graph of g(x) has a lesser y intercept

Step-by-step explanation:

Given

f(x) = 100(-x + 4)

Required

Determine the relationship between f(x) and g(x)

First, we need to get the equation of g(x).

From the question, we have that:

Initial Value = 360

Rate = -90 yearly

[It is negative because the rate shows decrement]

Hence, the equation of g(x) is:

g(x) = Initial Value + Rate * x

Where x represents number of years

g(x) = 360 + (-90 * x)

g(x) = 360 - 90x

g(x) = -90x + 360

Recall that

f(x) = 100(-x + 4)

f(x) = -100x + 400

To solve y intercept, we set x = 0.

f(0) = -100 * 0 + 400 = 0 + 400 = 400

g(0) = -90 * 0 + 360 = 0 + 360 = 360

By comparison, the graph of g(x) has a lesser y intercept

To solve x intercept, we set y = 0

For f(x)

0 = -100x + 400

100x = 400

x = 4

For g(x)

0 = -90x + 360

90x = 360

x = 4

By comparison, they have the same x intercepts.

From the list of given options, option A answers the question.

right

step-by-step explanation:

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step-by-step explanation: