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
aleksandr82 [10.1K]
3 years ago
6

Claire is a manager at a toy packaging company. The company packs 80 boxes of toys every hour for the first 3 hours of the day.

They stop packaging for the next 2 hours in order to carry out a training session. Then, for the next 4 hours, they pack 20 boxes of toys every hour. Which graph models the piecewise function for the given situation?

Mathematics
2 answers:
Stells [14]3 years ago
8 0

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]

At the end of the 3 hours The company packs = 80 * 3 = 240

They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]

Then, for the next 4 hours, they pack 20 boxes of toys every hour

y₃ = 20x + c , x ∈ [5,9]

To find c, y₂ = y₃ at x =5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 =240 - 100 = 140

∴ y₃ = 20x + 140 , x ∈ [5,9]

So,

y₁ = 80 x , x ∈ [0,3]

y₂ = 240 , x ∈ [3,5]

y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

shutvik [7]3 years ago
6 0

Answer: D

Step-by-step explanation:

You might be interested in
Write the number in different ways
mina [271]
4. 15 tens, 1 hundred, 5 tens
150
5. 18 tens, 1 hundred, 8 tens
180


note: I hope this helps. I haven't done this in a long time. Sorry X(
3 0
3 years ago
If its -26 degree in Canada and 34 degrees in Australia what is the difference in temperature
tatyana61 [14]

Answer:

It would be 60 degrees

Step-by-step explanation:

You take the numbers and write the equation 34-(-26) to figure out the difference. You then change the signs, making it 34+26, as before you were subtracting a negative. If you complete that problem, you come to the conclusion of 60.

6 0
3 years ago
What is two equivalent for 2/4ths
alex41 [277]
Sure, you can either simplify it further: 1/2 and you could also multiply by 2: 4/8
6 0
3 years ago
Read 2 more answers
There are eight people competing in the track meet this weekend. They are competing for 1st, 2nd, and 3rd place ribbons. How man
malfutka [58]

Answer:

Option C

Step-by-step explanation:

Assuming P represents the number of outcomes, n the number of competitors and r the number of places to be awarded....

P = n! / ( n - r )!\\P = 8! / ( 8 - 3 )!\\P = 8! / 5!\\\\Algebra, P = 336 \\Solution = Option C

There are 336 different possible ways for the winners to be chosen.

<u><em>Hope that helps!</em></u>

5 0
3 years ago
Mr. Dash recorded the odometer
Charra [1.4K]
Mr. Dash is reimbursed $47.69.
4 0
2 years ago
Other questions:
  • the width of a rectangle is three more than half the length. its perimeter is 78 centimeters, find the length and width
    12·1 answer
  • A maintenance company charges an office owner $1,800 to clean 5 of his machines. How many should he charge to fix 3 machines?​
    7·1 answer
  • At Gwen's Beading Boutique, there are 54 plastic beads and 18 metal beads on clearance. What percentage of the beads on clearanc
    13·2 answers
  • A bookstore has 5 boxes of 10 in each box on Monday the bookstore sold 20 books how many books remain to be sold?
    14·1 answer
  • Find the missing dimension<br> Height.
    9·1 answer
  • What kind of sequence is this? –41, –51, –61, –71
    14·1 answer
  • How do I find the correct slope on a graph?
    5·2 answers
  • Please help meeeeeeeeeee
    7·1 answer
  • (2x -5) - 1.75(x+4) simplify
    6·2 answers
  • What is 17/20 - 4/15
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!