Answer:
27% and 37%
Step-by-step explanation:
Percentage of students who oppose the year-round school = 68%
Percentage of students who support the year-round school = 32%
Margin of error = ± 5%
We have to set up the absolute valued equation to find the range(least and greatest) percentages of students who could be in favor of year-round school.
Since, the percentage of students who support the year-round school is 32% and the margin of error is 5%, this means, the difference between 32% and the least and greatest possible percentages is 5%. It can be either +5% or -5%
This thing can be expressed as absolute valued equation as:
| x - 32 | = 5
Here x represents the least and greatest percentages.
Expanding the equation, we can write:
x - 32 = -5 or x - 32 = 5
x = -5 + 32 or x = 5 + 32
x = 27% x= 37%
This means the least percentage of students who be in favor is 27% and the greatest percentage of students is 37%.
<em><u>The reciprocal property is:</u></em>
<em><u>Solution:</u></em>
Given that,
<em><u>The reciprocal property is given as:</u></em>
The reciprocal of a fraction is the numerator and denominator switched
Therefore,
By reciprocal property,
Switch the numerator and denominator of right side fraction as well as left side fraction
The we get,
Thus option C is correct