I have the following chart that I am supposed to find the percent increase in one step, not using a two step method.
10.5
12.5
14.9
17.7
21.1
25.1
When I do this (and round) I get about 19% increase for each one. (we are supposed to round.
Then I have another chart that we are supposed to find the percent decrease also using the one step method.
80.2
71.4
63.5
56.5
50.3
44.8
If I use the same method I get about 12% decrease each time but the answer says 11% each time. If I do it the opposite way, for example, 71.4/80.2 and then subtract from 1.00 I would get more like 11%.
I'm just not really certain of the methodology to get the correct 11% answer.
Thank you.
To find the percent increase or decrease between two numbers using a one-step method, you can follow these steps:
Percent Increase:
1. Take the new value and subtract the original value.
2. Divide the result by the original value.
3. Multiply by 100 to get the percentage increase.
4. Round the answer as required.
Percent Decrease:
1. Take the original value and subtract the new value.
2. Divide the result by the original value.
3. Multiply by 100 to get the percentage decrease.
4. Round the answer as required.
Let's apply this to the provided charts:
For the first chart (percent increase):
1. To find the percent increase between 10.5 and 12.5, subtract 10.5 from 12.5, which gives you 2.
2. Divide 2 by 10.5, which gives you approximately 0.1905 (rounded to four decimal places).
3. Multiply 0.1905 by 100 to get 19.05% (rounded to two decimal places).
By applying the same steps to the remaining values in the first chart, you will find approximately 19% increase for each value.
Now, for the second chart (percent decrease):
1. To find the percent decrease between 80.2 and 71.4, subtract 71.4 from 80.2, which gives you 8.8.
2. Divide 8.8 by 80.2, which gives you approximately 0.1097 (rounded to four decimal places).
3. Multiply 0.1097 by 100 to get 10.97% (rounded to two decimal places).
Using the same steps with the remaining values in the second chart, you should find approximately 11% decrease for each value.
If the answer key indicates a different result of 11% for each value, it is possible that they used a slightly different rounding technique or methodology. It's always a good idea to clarify with your instructor or refer to the specific guidelines provided in your coursework to ensure consistency in calculations.
To find the percent increase or decrease, you can follow these steps:
1. For finding the percent increase, start by subtracting the original value from the new value.
Example: New value - Original value = Increase
2. Divide the calculated increase by the original value.
Example: Increase / Original value = Percentage increase
3. Multiply the result by 100 to find the percentage increase.
Example: Percentage increase * 100 = Percent increase
Now, applying these steps to your first chart:
10.5 → 12.5
Increase: 12.5 - 10.5 = 2
Percentage increase: 2 / 10.5 ≈ 0.19
Percent increase: 0.19 * 100 ≈ 19%
For your second chart:
80.2 → 71.4
Decrease: 80.2 - 71.4 = 8.8
Percentage decrease: 8.8 / 80.2 ≈ 0.11
Percent decrease: 0.11 * 100 ≈ 11%
So, your calculated values of 19% for the increase and 11% for the decrease are correct. The answer you were provided, which says 11% for both charts, seems to be incorrect.