Out of a population of 1,500 students, 100 were asked by a random sampling to choose their favorite national park. their responses are shown in the table below.

using proportional reasoning, about how many students out of the 1,500 would you expect to pick yosemite for their favorite national park?

students

Proportional reasoning involves comparing two values using a known proportion.

Here in a sample of 100 students, 14 students chose Yosemite as their favourite national park. This gives a proportion of 14 / 100 = 0.14 or 14%.

Using proportional reasoning, we will expect 14% of the population of 1,500 students to choose Yosemite as their favourite park.

Therefore, the number of students out of the 1,500 that we would expect to pick Yosemite for their favorite national park  is 14% 0f 1,500 = 0.14 x 1,500 = 210 students.