Below are two different functions, f(x) and g(x). What can be determined about their slopes?
f(x) George reads 200 pages in 40 minutes.
x g(x)
4 -8
4 10
4 28
(1 point)
The function f(x) has a larger slope.
The relationship between slopes cannot be determined.
They both have the same slope.
0
The function g(x) has a larger slope.

The slope is positive if the vertical and horizontal changes are increasing together or decreasing together
The slope is negative if the vertical and horizontal changes are opposite (if one increases the other decreases)
The slope is zero if the vertical change is zero (represented by a horizontal line)
The slope is undefined if the horizontal change is zero (represented by a vertical line)

Let us solve the question

∵ George can reed 200 pages in 40 minutes

∴ The slope of f(x) represents the rate of reading of George

∴ The slope of f(x) = 200/40 = 5 pages per minutes

∵ The given table represents g(x)

∴ Points (4, -8), (4, 10), and (4, 28) belong to g(x)

∵ All the points have the same x-coordinates

→ That means the change in x = 0 (horizontal change)

∴ g(x) represented by a vertical line

∴ g(x) has no slope

→ That means we can not compare between the slopes

of f(x) and g(x)

∴ The relationship between slopes cannot be determined