Answer:

Step-by-step explanation:
<u>Function modeling</u>
Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.
The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100
Before jumping into doing this problem, it is important to look at all the information's that have been made available in the question. Based on those given conditions the answer to the problem can be easily deduced.
Let us assume the number of friends Sumalee has = x
Then
2x + 8 = 40
2x = 40 -8
2x = 32
x = 32/2
x = 16
So Sumalee has 16 friends. There are numerous ways to get to the answer that is required to be found. This is the easiest and the shortest method. Hope i helped you.
Answer:
<em>The options are not visible enough (See Explanation)</em>
Step-by-step explanation:
Given
x:- 1 || 2 || 3 || 4 || 5
y:- 13 || 22 || 37 || 58 || 85
Required
Determine if the function is quadratic
Calculate the difference between the values of y




<em>The resulting difference are: 9 || 15 || 21 || 27</em>
Next; Calculate the difference between the difference of values of y



<em>The resulting difference are: 6 || 6 || 6</em>
<em>For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.</em>
Answer:
f(4) is 6,520 greater than g(4)
Step-by-step explanation:
A+b = 5
b+c= 3 1/2
2 times 2 + 3 = 7
a times d =8
c+c = 1
(e)2 = 1/9