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The function f(x)=100+0.75(x-50) can be used to determine the cost in dollars for printing x, t shirts what is the rate of change of the cost in dollars with respect to the number of t shirts printed

A. $100
B. -$50
C. $50
D.$0.75

Sagot :

K12school

Answer:

0.75$ did it on quiz 100% right

Step-by-step explanation:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f

(

x

)

=

x

2

,

[

2

,

3

]

 

0.75

facundo3141592

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

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