Question

Which function has a greater y-intercept?

Answer 1

To find the y-intercept of h(r), plug in 0 for r, and solve:

h(r) =
`-(3)/(2)` r - 5

h(r) =
`-(3)/(2)` × 0 - 5 (plug in 0 for r and solve)
= h(r) = -5

So the y-intercept for h(r) is: -5
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For p(r), the y-intercept is when x = 0.
From looking at the table, we see that when x=0, p(r) = -5

So the y-intercept of p(r) = -5
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ANSWER:

The y-intercept of h(r) and p(r) are both equal to -5, therefore the y-intercepts are the same.

So the answer would be:

c) The functions have the same y-intercept.