Using proportional relationships portfolio worksheet

Answer 1

Portfolio Worksheet
Name: [Your Name]

Instructions:
1. Choose a proportional relationship to explore.
2. Write the equation for the proportional relationship.
3. Create a table of values for the relationship.
4. Graph the relationship on a coordinate plane.
5. Write an equation for the relationship in slope-intercept form.
6. Write a brief explanation of the meaning of the slope and y-intercept in the context of the relationship.
7. Solve a problem using the proportional relationship.

Proportional Relationship: The relationship between the number of hours worked and the amount of money earned.

1. Equation for the Proportional Relationship:
Let's assume that for every hour worked, $10 is earned. The equation for the relationship can be written as:
Earnings = 10 * Hours

2. Table of Values:
Hours (x) | Earnings (y)
-----------------------------
0 | 0
1 | 10
2 | 20
3 | 30
4 | 40

3. Graph of the Relationship:
(Please imagine a coordinate plane with hours on the x-axis and earnings on the y-axis. Plot the points (0, 0), (1, 10), (2, 20), (3, 30), and (4, 40) to create the graph.)

4. Equation in Slope-Intercept Form:
The equation for the proportion in slope-intercept form can be derived from the proportional equation as:
Earnings = 10 * Hours
Rearranging the equation, we have:
Earnings = 10 * Hours + 0
This can be simplified to:
Earnings = 10 * Hours + 0
Therefore, the equation in slope-intercept form is:
y = 10x

5. Meaning of the Slope and Y-Intercept:
In this context, the slope of the line (10) represents the rate at which earnings increase per hour worked. For every additional hour worked, the earnings increase by $10. The y-intercept (0) represents the initial earnings when no hours are worked.

6. Problem:
John works at a part-time job where he earns $10 per hour. Given that he worked for 5 hours, how much money did he earn?
Solution:
Using the proportional relationship, we can substitute the value of 5 hours into the equation:
Earnings = 10 * 5
Earnings = $50
Therefore, John earned $50 for working 5 hours.

(Note: You can choose any other proportional relationship and repeat the same steps to complete your portfolio worksheet.)