A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The
1 answer:
Answer:
small boxes = 5 and large boxes = 10
Step-by-step explanation:
Given:
The volume of each small box is 7 cubic feet.
volume of each large box is 13 cubic fee.
There were twice as many large boxes shipped as small boxes shipped.
Total volume of all boxes was 165 cubic feet.
Question asked:
The number of small boxes shipped and the number of large boxes shipped?
Solution:
Let number of small boxes shipped = x
Then, the number of large boxes shipped = 2x (given)
Total volume of all boxes = 165 cubic feet.
no. of small boxes vol. of each small box + no. of large boxes
vol. of each large box = 165 cubic feet. (Total volume of all boxes)
Dividing both side by 33
The number of small boxes shipped = = 5
The number of large boxes shipped = 2 = 2
5 = 10
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The output value is its thickness. The output value is the y-value.
When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).
When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).
When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).
Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)
Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)
Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)
The ordered pairs would be:
(0,2)
(1,4)
(2,8)
(3,16)
(4,32)
(5,64)
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(7,256)
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Now, the equation for this would be
If we graph that, and we do the vertical line test, then we know this is a function.
It is a function because each x-value has a different y-value. There are no y-values that have the same x-values.
<span>I have attached the graph of that line.</span>
The output value is its thickness. The output value is the y-value.
When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).
When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).
When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).
Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)
Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)
Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)
The ordered pairs would be:
(0,2)
(1,4)
(2,8)
(3,16)
(4,32)
(5,64)
(6,128)
(7,256)
and so on :P
The question asks for 6 ordered pairs, so I bolded the first six.
Now, the equation for this would be
If we graph that, and we do the vertical line test, then we know this is a function.
It is a function because each x-value has a different y-value. There are no y-values that have the same x-values.
<span>I have attached the graph of that line.</span>