Answer:
photomath is a great app! it shows you the process
Answer:
a) 41
b) -31
c) 25/3
Step-by-step explanation:
The instructions explain what a function is pretty clearly.
Basically, whatever is in the parentheses next to the
, you plug in to the expression that is the function.
ex: 

Okay, onto the problems:
a) 
First, plug in 14, since that is given:

and solve.


So, 41 is the answer to a.
b) Do the same thing you did in problem a. Plug in the number inside the parentheses and solve.



-31 is the answer to b.
c) For this problem, you have to do a bit of algebra.
First, take the base function f(x):

Then, set f(x) = 24:

and solve by isolating x.



25/3 is the answer to c.
Four order pairs are ( 2, 5 ), ( 4, 8 ), ( 6, 11 ), ( 0, 2). All those I cited are whole numbers so that should help plot them, and from there get a ruler or straight edge and align all the dots to create the line for the equation. The equation you gave was the standard form which was created out of the formula to find a equation it's y = mx + b, there could be small variations made. How I know it's proportional is because all linear equations are. But if that's not enough I also know since there's a ratio or pattern that it follows and doesn't stray from. In more depth, porportional relationship is a ratio between y and x which is the same thing everytime shown if simplified.
Maximum profit due to the feasibility graph....we take where the two lines cross...(6,5). These figures are substituted into the equation and the result is the max profit...
p = 3x + 2y
p = 3(6) + 2(5)
p = 18 + 10
p = 28
Given the ordered pair:
(8, 5)
Let's find the ordered pair that represents a point on the same graph assuming this is a graph of a proportional relationship.
Here, we have:
(x, y) ==> (8, 5)
Since this is a graph of a proportional relationship, let's find the constant of proportionality.
We have:

This means when x is 1, y is 5/8.
Thus, the ordered pair that also represents a point on the same graph is:

ANSWER: