To calculate the percent increase in the average cost at a public 4-year institution from the academic year 2012-2013 to the academic year 2016-2017, we can use the following formula for percent increase:
\[
\text{Percent Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100
\]
From the given data:
- The average cost in 2012-2013 is 230 (in hundreds of dollars).
- The average cost in 2016-2017 is 256 (in hundreds of dollars).
Now, we substitute these values into the formula:
\[
\text{Percent Increase} = \frac{256 - 230}{230} \times 100
\]
First, calculate the difference between the new value and the old value:
\[
256 - 230 = 26
\]
Next, divide the difference by the old value:
\[
\frac{26}{230} = 0.11304347826
\]
Finally, multiply by 100 to convert to a percentage:
\[
0.11304347826 \times 100 \approx 11.30
\]
The percent increase in the average cost at a public 4-year institution from 2012-2013 to 2016-2017 was approximately 11.30%.
So, the percent increase was **11.30%**.
The double-bar graph shown displays the average cost of an undergraduate student's tuition, fees, and room and board for the academic years 2012-2013 to 2016-2017 at both a 2-year and a 4-year public institution. What was the percent increase in the average cost at a public 4-year institution from 2012-13 to 2016-17?
2012-13
2013-14
2014-15
2015-16
2016-17
0
50
100
150
200
250
300
Academic year
Average Cost (in hundreds of dollars)
4-year
2-year
93
230
95
236
98
240
100
247
103
256
A double-bar graph has a horizontal axis labeled "Academic year" with five labels and a vertical axis labeled "Average Cost (in hundreds of dollars)" from 0 to 300 in increments of 50. Two vertical bars are above each of the horizontal axis labels, where the left bar represents 2-year, and the right bar represents 4-year. The heights of the bars are as follows, where the academic year is listed first, and the heights of the bars are listed next from left to right: 2012-13, 93 and 230; 2013-14, 95 and 236; 2014-15, 98 and 240; 2015-16, 100 and 247; 2016-17, 103 and 256.
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Part 1
The percent increase in the average cost at a 4-year institution from 2012-13 to 2016-17 was
enter your response here%.
1 answer