Question

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

Explanation:

Step1: Calculate the proportion in the sample

The proportion of students who chose Yosemite in the sample is $\frac{14}{100}$.

Step2: Apply the proportion to the population

Multiply the proportion by the total population: $\frac{14}{100}\times1500$.

$$\begin{align*} \frac{14}{100}\times1500&=14\times15\\ & = 210 \end{align*}$$

Answer:

210