Question

How does the graph of g(x) compare to the graph of f(x)?

Answer 1

it is given that, the equation of expected value of television A after x year is,

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

f(x) = -100x + 400 .......(1)

also, the expected value of television B is initially 360 $

then it decreases 90$ per year,

so the equation of expected value of television B after x years is,

g(x) = 360 - 90x

g(x) = -90x + 360 ........(2)

so, the y-intercept of television A is 400

and the y-intercept of television A is 360.

thus, f(x) has greater y-intercept. and g(x) has lesser y - intercept,

thus, the answer is g(x) has lesser y - intercept,

the correct answer is option A