Question

In the past, 17 out of 52 students earned an A on Mrs. Andrew's Chapter 4 Science test. This year, 181 students took the test. At this rate, how many students likely earned an A?

Answer 1

Calculating the number of students likely to have earned an A on the test involves setting up a proportion based on past results and solving for the unknown, which is a typical middle school mathematics problem.

Step-by-step explanation:

The student has asked how many students likely earned an A on Mrs. Andrew's Chapter 4 Science test this year, given that 17 out of 52 students earned an A in the past, and 181 students took the test this year. To determine this, we use the ratio of students who got an A in the past to predict the number who would likely get an A this year. This type of problem is solved through a process called proportional reasoning, which is a part of mathematics and particularly useful in solving statistics and probability questions.

Step-by-Step Explanation:

1. Identify the ratio of students who earned an A in the past: 17 A's out of 52 students.
2. Set up a proportion to find the number of A's this year: (17 A's / 52 students) = (x A's / 181 students).
3. Solve for the unknown x: x = (17 A's / 52 students) * 181 students.
4. Calculate the value of x, which represents the predicted number of A's this year.

Using this method, we can estimate the number of students who likely earned an A on the test this year.