Question

You took a survey of your class and found that 18 out of the 31 students have a pet at home. Explain how you can use your results to make a prediction for the 1746 students in your school.

Short answer

Based on the class survey, it can be predicted that approximately 1015 students in the school have a pet.

Step-by-step solution

Calculate the Proportion of Students who have a Pet

To find the ratio of students who have a pet in class, divide the number of students who have a pet (18 students) by the total number of students (31 students). This proportion is represented as \(\frac{18}{31}\).

Predict the number of Students in School having a Pet

To estimate the number of students who have a pet in the entire school, one must relate the proportion of students with a pet to the total number of students in the school, which is 1746 students. This can be done by multiplying the ratio \(\frac{18}{31}\) by the school's total student population, 1746: \(\frac{18}{31} * 1746\).

Round off to the nearest Whole Number

As the number of students must be a whole number, the resulting figure ought to be rounded to the closest whole number: \(1015\).