Answer:
As per the statement:
Below are two different functions, f(x) and g(x).
For f(x):
Alex earns 1600 dollars in 400 hours.
\(\text{unit rate per hour} = \frac{1600}{400} = 4\) dollars.
Slope of f(x) = 4
Now, find the slope of g(x):
Formula for slope is given by:
\(\text{Slope} = \frac{y_2-y_1}{x_2-x_1}\)
From the given tables:
Consider two values (x, g(x)) i.e,
(1, -8) and (5, 12)
Then;
\(\text{Slope} = \frac{12-(-8)}{5-1}\)
⇒\(\text{Slope} = \frac{20}{4} =5\)
⇒Slope of g(x) = 5
\(\text{Slope of g(x)} > \text{Slope of f(x)}\)
Therefore, the function g(x) has faster slope.
