Question

You randomly survey students about year-round school. The results are shown in the graph.

Answer 1

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%.