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ser-zykov [4K]
3 years ago
8

A factory manufactures widgets based on customer orders. If a customer's order is for less than w widgets, the customer's cost p

er widget is d dollars. If a customer's order is for at least w widgets, the customer's cost per widget is decreased by c cents for each widget ordered over w widgets. A customer's total cost is t. Which of the following functions would best model the situation given above?
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

Piecewise function model

Step-by-step explanation:

According to the given statement a factory manufactures widgets based on customer orders. If a customer's order is for less than w widgets, the customer's cost per widget is d dollars.

customer order < widgets

If a customer's order is for at least w widgets, the customer's cost per widget is decreased by c cents for each widget ordered over w widgets. A customer's total cost is t.

customer order > widgets

We can notice that we have two different conditions. In this type of question where there are different conditions for different types of domain we use piecewise function.

With different conditions, the cost is different, therefore piecewise function model would be the best option for the situation....

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If 24 ÷ b = 12, which number is being subtracted 12 times in order for the answer to be zero?
mariarad [96]

Answer:

2

Step-by-step explanation:

Notice the question of which number is being subtracted 12 times in order for the answer to be zero is the same as finding b.

Notice 24 is being divided by b to get 12 as result.

The question is then: by what number we divide 24 to get 12?

It is 2 since:

24\div2=12

And notice if we subtract 12 times b from 24 we actually get 0:

24-12\cdot2 = 24-24=0

3 0
4 years ago
1/4+4x/5=31/15 please show your work.
Novosadov [1.4K]

Answer: x = 109/48


Step-by-step explanation:

1. Simplify 4 x x/5 to 4x/5

1/4 + 4x/5 = 31 15

2. Subtract 1/4 from both sides

4x/5 = 31/15 - 1/4

3. Simplify 31/15 - 1/4 to 109/60

4x/5 = 109/60

4. Multiply 1both sides by 5

4x = 109/60 x 5

5. Simplify 109/60 x 5 to 545/60

4x = 545/60

6. Simplify 545/60 to 109/12

4x = 109/12

7. Divide both sides by 4

x = 109/12/4

8. Simplify 109/12/4 to 109/12 x 4

9. Simplify 12 x 4 to 48

x = 109/48


Hope this helps & happy halloween! :)





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Answer:

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