Question

A recent school survey found that 8 out of 11 students plan to go to college after graduating high school. At that rate, how many of the 1950 students at the local high school plan to go to college?

1560 students

2438 students

2544 students

1418 students

Answer 1

To find out how many students plan to go to college based on the survey result of 8 out of 11 students, we can set up a proportion.

Let \( x \) be the number of students at the local high school who plan to go to college. The ratio from the survey can be represented as:

\[
\frac{8}{11} = \frac{x}{1950}
\]

Now, we can cross-multiply to solve for \( x \):

\[
8 \times 1950 = 11 \times x
\]

Calculating the left side:

\[
8 \times 1950 = 15600
\]

So, we have:

\[
15600 = 11x
\]

Now we can solve for \( x \) by dividing both sides by 11:

\[
x = \frac{15600}{11}
\]

Calculating \( \frac{15600}{11} \):

\[
x = 1418.18 \approx 1418
\]

Since we can't have a fraction of a student, we round down to the nearest whole number. Thus, the approximate number of students who plan to go to college is:

\[
1418 \text{ students}
\]

Therefore, the correct answer is:

**1418 students**.