We know that the function:
f(x) = 100 + 0.75×(x - 50)
Models the cost in dollars of printing x t-shirts.
We want to find the rate of change of the cost in dollars. We will find that the correct option is D: $0.75
First, remember that a general linear equation can be written as:
y = a×x + b
Where the rate of change is "a" (also called the slope)
So just let's write our function in this way, to do this, we need to distribute the multiplication in the second term:
f(x) = 100 + 0.75×(x - 50) = 100 + 0.75×x - 0.75×50 = 0.75×x + 62.5
So we can see that the rate of change is 0.75
And f(x) is expressed in dollars, thus the actual rate of change is $0.75.
Then the correct option is D: $0.75
If you want to learn more, you can read:
https://brainly.com/question/11897796
