The proportional relationship for the earnings and hours worked for Employee 1 is displayed in the table. The proportional relations hip between the earnings and hours worked for Employee 2 is displayed in the graph. What I equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2?
To find the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2, we can use the formula for a proportional relationship, which is:
earnings = k * hours worked
where k is the constant of proportionality.
For Employee 1, the earnings and hours worked are given in the table:
| Hours Worked | Earnings |
|--------------|----------|
| 5 | 50 |
| 10 | 100 |
| 15 | 150 |
From the table, we can see that when Employee 1 works 5 hours, they earn $50. Therefore, we can calculate the constant of proportionality k using the formula:
50 = k * 5
k = 50 / 5
k = 10
So, the equation for Employee 1's proportional relationship between earnings and hours worked is:
earnings = 10 * hours worked
For Employee 2, the earnings and hours worked are shown in the graph, which demonstrates a straight line passing through the origin. This indicates that the constant of proportionality is also 10. Therefore, the equation for Employee 2's proportional relationship between earnings and hours worked is also:
earnings = 10 * hours worked
In conclusion, the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2 is:
earnings = 10 * hours worked