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
Answer:
20 and 10
Step-by-step explanation:
Answer:
w = y - x is the equation to find w
Where,
w = Weight of the liquid
x = Weight of the empty can
y = Weight of the can with liquid
Step-by-step explanation:
Let
Weight of the empty can = x
Weight of the liquid = w
Weight of the can with liquid = x + w = y
x= 30 grams
w = ?
y= 47.3 grams
y = x + w
w = y - x
= 47.3 - 30
= 17.3
w= 17.3 grams
Therefore, the weight of the liquid is 17 .3 grams
Hey there! :)
If the width is 10 ft and the farmer wants the length to be 3x the width:
Length = 3w
W = 10
10 × 3 = 30
The width is 10 ft and the length is 30 ft.
Remember: You have to find the perimeter
Perimeter = 2l + 2w
l = 30
30 × 2 = 60
w = 10
10 × 2 = 20
60 + 20 = 80
Your answer is 80 ft of fencing
Hope this helps :)
Sara worked 1 day last week
Joan worked for 20 hours last week
And Erin worked for 10 hours last week