A survey showed that x% of the students at Hoover High school have a job. Write a proportion to find the number of students that have a job, z, if there are y students at Hoover High school.



To find the number of students, \( z \), that have a job at Hoover High School, you can set up the proportion using the percentage of students, \( x\% \), and the total number of students, \( y \). The proportion would be:

\[
\frac{x}{100} = \frac{z}{y}
\]

This equation compares the percentage of students with a job to the total number of students. To solve for \( z \), the number of students that have a job, you can rearrange the equation:

\[
z = \frac{x}{100} \times y
\]

### Summary:
- \( x \): Percentage of students with a job.
- \( y \): Total number of students.
- \( z \): Number of students with a job.

Let me know if you want more details or if you have any questions!

Here are 5 related questions to explore:
1. How would the formula change if the percentage increased by 5%?
2. If 25% of students have jobs, how many students would that be if there are 800 students at the school?
3. What is the interpretation if \( x \) is greater than 100%?
4. How can this proportion help if you know the number of students with jobs but want to find the percentage instead?
5. How would the problem change if only a specific grade level at the school was surveyed?

**Tip**: When dealing with percentages, always divide the percentage value by 100 to turn it into a decimal before using it in equations.

A survey showed that x% of the students at Hoover High School have a job. Write a proportion to find the number of students that have a job, z, if there are y students at Hoover High School.

Learn how to calculate the number of students with jobs at Hoover High School using proportions. This example explains how to set up and solve a proportion based on a given percentage of students with jobs. Suitable for middle school students in Grades 6-8.

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