1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VladimirAG [237]
3 years ago
6

Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor

e than 100 pounds. is the amount of money Janice receives a function of the weight of the cans here cycles? Explain your reasoning.
Mathematics
1 answer:
Ilya [14]3 years ago
5 0

Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

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

M=0.4x

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

M=0.5x

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

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

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

You might be interested in
Sin15°+tan65°=cot25°+cos75°​
kifflom [539]

Step-by-step explanation:

L.H.S =

sin15°+tan65°

sin(90°-75°)+tan(90°-25°)

cos75°+cot25°

or; cot25°+ cos75°. R.H.S

6 0
2 years ago
8+4m=9m-7<br> check solution
ella [17]
8+4m=9m-7 \\\\ 4m-9m=-7-8 \\\\ -5m=-15 \\\\ \boxed{m=\frac{-15}{-5}=3}
4 0
3 years ago
Read 2 more answers
Find the value of a in the parallelogram <br> 64°<br> (2a+28)
Anastaziya [24]

Answer:

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
teachers for several classes and a district are told to use a new method for teaching reading while all the other classes use tr
OLEGan [10]
The <u>correct answer</u> is:

Experiment

Explanation:

In an experiment, one group is given a treatment while at least one other group is not.  After the treatment is finished, the results of the group that receive the treatment are compared with the results of the group (or groups) that do not receive the treatment, to determine if the treatment had any effect on the group.

In this problem, the different groups are the classes.  Some classes use the new method, which is the treatment, while other classes do not.  At the end of the year, the reading results of each class are compared to see if the treatment (new method) had any effect.
3 0
3 years ago
Read 2 more answers
How do I do this question folks?
horsena [70]

Answer:

Correct answer: B

Step-by-step explanation:

Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.

In the graph, you can see that the graph is defined for -3\leq x < 1 (not-including 1 because there is an open hole there, indicating it is not part of the domain), and 2\leq x\leq 4.

Now that we know the domain, we can attach it to the graphs that lie on those domains.

We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.

At this point, you can just start crossing off answers that don't meet this criteria.

Cheers!!

7 0
2 years ago
Other questions:
  • Help help help please
    11·1 answer
  • Please explain how to do this!!!
    5·1 answer
  • The ratio of girls to boys at a movie is 3:8. If there are 32 boys, how many girls are at the movie
    10·2 answers
  • Chose which group of sets the following number belongs to. Be sure to account for all sets. 30 POINTS EASY
    6·1 answer
  • On a certain hot​ summer's day, 611 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo
    14·1 answer
  • If m3 is 52°, what is the measure of its vertical angle?
    12·1 answer
  • An 80% confidence interval is found to be (12, 20). What is the margin of<br> error?
    7·1 answer
  • Helppppppp meeeeeee I don’t understanddddd
    6·1 answer
  • In right triangle ABC, angle C is a righ angle, AB=13, and BC=5 .what is the length of AC?
    5·1 answer
  • A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the po
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!