The function f(x) = 3x + 5,000 represents the amount of money a cell phone screen is being sold for, where x is the number of screens being manufactured.

The function g(x) = 20x − 400 represents the cost of production, where x is the number of screens being manufactured.

What is (f − g)(200)? Explain.

$2,000 is the profit made from 200 cell phone screens.
$9,200 is the profit made from 200 cell phone screens.
$2,000 is the cost of manufacturing 200 cell phone screens.
$9,200 is the cost of manufacturing 200 cell phone screens.

$2000 is the profit made from manufacturing 200 screens

Step-by step:

given: (f-g)(200), x=200

to find the answer, first replace x in the equations given:

f(200)=3(200)+5000

f(200)=5600

g(200)=20(200)-400

g(200)=3600

then subtract plug your answers into (f-g)(200):

5600-3600=2000

The Answer is A. $2,000 is the profit made from 200 cell phone screens.

Hope This Helps!

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.