Questions: Determine the percent decrease in box office earnings from 2016 to 2017.
The earnings decreased by %.
Transcript text: Determine the percent decrease in box office earnings from 2016 to 2017.
The earnings decreased by $\square$ \%.
Solution
Solution Steps
To determine the percent decrease in box office earnings from 2016 to 2017, we need to follow these steps:
Calculate the difference in earnings between 2016 and 2017.
Divide the difference by the earnings in 2016 to find the decrease as a fraction of the 2016 earnings.
Multiply the result by 100 to convert it to a percentage.
Round the result to the nearest tenth.
Step 1: Calculate the Difference in Earnings
The earnings in 2016 were \$1000 and in 2017 were \$800. The difference in earnings is:
\[
\text{difference} = 1000 - 800 = 200
\]
Step 2: Calculate the Percent Decrease
To find the percent decrease, we divide the difference by the earnings in 2016 and multiply by 100:
\[
\text{percent decrease} = \left( \frac{200}{1000} \right) \times 100 = 20.0
\]
Step 3: Round to the Nearest Tenth
The percent decrease is already at one decimal place, so no further rounding is needed.
Final Answer
The percent decrease in box office earnings from 2016 to 2017 is:
\[
\boxed{20.0\%}
\]