Question

Monique collects data from a random sample of seventh graders in her school and finds that out6 of 12 seventh graders participate in​ after-school activities. Write and solve a proportion to estimate the number of 112seventh graders n who participate in​ after-school activities if seventh graders attend​ Monique's school.

Answer 1

To estimate the number of seventh graders who participate in after-school activities, we can set up a proportion using the information given.

Step-by-step explanation:

To estimate the number of seventh graders who participate in after-school activities, we can set up a proportion using the information given:

Number of seventh graders who participate in after-school activities / Total number of seventh graders = Number of seventh graders in the sample who participate in after-school activities / Total number of seventh graders in the sample

Let n be the total number of seventh graders.

6 / 12 = x / n

Multiply both sides of the proportion by n:

6n = 12x

Divide both sides of the equation by 12:

n = 2x

This proportion tells us that the total number of seventh graders who participate in after-school activities, n, is twice the number of seventh graders in the sample who participate in after-school activities, x. So if 6 out of 12 seventh graders in the sample participate in after-school activities, we can estimate that about 2 times that number, or 12 out of 24 seventh graders, participate in after-school activities in Monique's school.