Answer
They both have the same slope.
Step by step explanation
Let's find the slope of f(x).
f(x) Xavier runs the 400m race in 50 seconds.
Slope of f(x) = 400/50 = 8
Now let's find the slope of g(x)
Let's take two points from the table and find the slope of g(x)
Let's take (3, -4) and (5, 12)
Slope of g(x) = (y2 - y1)/(x2 - x1)
Here x1 = 3, y1 = -4, x2 = 5 and y2 = 12
g(x) = (12 - (-4)) / (5 - 3)
g(x) = (12 +4) / (2)
g(x) = 16/2
g(x) = 8
The slope of g(x) = 8 and also f(x) = 8.
Therefore, the slope of both functions (f(x) and g(x)) are the same.
Answer: They both have the same slope.
Thank you. :)
