Identify the percent of change as an increase or decrease; circle I or D. Then find
the percent of change. Writing the answer as a fraction is always the best, otherwise
please Round to the nearest tenth of percent, if necessary.
1. 9 pounds to 120 pounds 2. 10 feet to 8 feet
I or D I or D
Sorry the I or D's were supposed to be under both 1 and 2!
first is I, 2nd is D
(120-9)/9 = ___ * 100%
(8-10)/10 = -2/10 = -0.2*100% = -20%
1. Increase (I)
To find the percent of change:
Step 1: Calculate the difference between the final and initial values:
120 pounds - 9 pounds = 111 pounds
Step 2: Divide the difference by the initial value:
111 pounds / 9 pounds ≈ 12.33
Step 3: Multiply the result by 100 to get the percentage:
12.33 × 100 ≈ 1233%
So the percent of change is approximately 1233%, or 1233/100 as a fraction.
2. Decrease (D)
To find the percent of change:
Step 1: Calculate the difference between the final and initial values:
8 feet - 10 feet = -2 feet
Step 2: Divide the difference by the initial value:
-2 feet / 10 feet = -0.2
Step 3: Multiply the result by 100 to get the percentage:
-0.2 × 100 = -20%
So the percent of change is -20%, or -20/100 as a fraction.
To determine if there is an increase or decrease, you need to compare the initial value to the final value.
1. Initial value = 9 pounds
Final value = 120 pounds
Since the final value (120 pounds) is greater than the initial value (9 pounds), there is an increase. Circle "I".
To find the percent of change, you can use the formula:
Percent change = (Change in value / Initial value) * 100
Change in value = Final value - Initial value
Change in value = 120 pounds - 9 pounds = 111 pounds
Percent change = (111 pounds / 9 pounds) * 100 = 1233.33%
Rounding to the nearest tenth of a percent, the answer is approximately 1233.3%.
2. Initial value = 10 feet
Final value = 8 feet
Since the final value (8 feet) is less than the initial value (10 feet), there is a decrease. Circle "D".
To find the percent of change, you can use the same formula as before:
Percent change = (Change in value / Initial value) * 100
Change in value = Final value - Initial value
Change in value = 8 feet - 10 feet = -2 feet (negative because it's a decrease)
Percent change = (-2 feet / 10 feet) * 100 = -20%
So, the percent of change is -20% or -20/100 as a fraction.