In February, Alec had 1,525 visitors to his website. In March, he had 1,385 visitors to his website. What is the percentage decr
ease of the number of visitors to Alec's website from February to March?
1 answer:
A proportion box can be used to solve this problem. First, we need to compute the difference or change in the original amount of visitors Alec had (in February) and the new amount of visitors (in March).
1,525 - 1, 385 = 140
We place this amount (140) in the top left of our box, and we place the original amount (1,525) in the bottom left of our box. We are looking for the percentage decrease, so that box in the upper right will stay empty. The number 100 always goes in the bottom right of our percent proportion box.
(The attached image will show an example of how to set this up).
Our last step is to cross multiply and divide.
140 x 100 = 14,000
14,000 ÷ 1,525 = 9.18
So, the percentage decrease of the number of visitors to Alec's website from February to March was 9.18%.
1,525 - 1, 385 = 140
We place this amount (140) in the top left of our box, and we place the original amount (1,525) in the bottom left of our box. We are looking for the percentage decrease, so that box in the upper right will stay empty. The number 100 always goes in the bottom right of our percent proportion box.
(The attached image will show an example of how to set this up).
Our last step is to cross multiply and divide.
140 x 100 = 14,000
14,000 ÷ 1,525 = 9.18
So, the percentage decrease of the number of visitors to Alec's website from February to March was 9.18%.
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Step-by-step explanation:
The translations of the typical functions are
Where a is the vertical translation,
If a is greater than 1 or less than -1, we have a vertical stretch
If a is between -1 and 1 , we have a vertical compressions or shrink.
If a is negative, we have a negative reflection across the x axis.
If b is greater than 1 or less than -1, we have a horizontal compression or shrink
If b is between -1 and 1, we have a horizontal stretch
If b is negative, we have a reflection about the y axis,
If c is negative, we have a translation to the right c units
If c is positive, we have a translation to the left c units
If d is positive, we have a translation upward d units
If d is negative, we have a translation downward d units.
Here in this problem, our parent function is x^3.
So I would do the following transformations.
- Reflect about the x axis
- Vertical Shrink by a factor of 1/2
- Horizontal Shrink by a factor of 3
- Shift to the left 4 units
- Shift downward 8 units.