Question

The proportional relationship for the earnings and hours worked for Employee 1 is displayed in the table. The proportional relationship between the earnings and hours worked for Employee 2 is displayed in the graph. What is the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2?

Answer 1

I’m missing the actual table and graph, so I can’t give the specific numeric equations yet. I can tell you exactly how to get them and show a quick example.

General method (both employees):
- A proportional relationship between earnings E and hours worked h has the form E = k·h, where k is the pay rate ($ per hour).
- From the table or graph pick any point (h, E). Compute k = E / h.
- Write the equation E = k·h. (Because it’s proportional, the y-intercept is 0.)

Example:
- If the table for Employee 1 shows 2 hours → $30, then k = 30/2 = 15 and the equation is E = 15h.
- If the graph for Employee 2 passes through (4, 60), then k = 60/4 = 15 and the equation is E = 15h.

If you post the table values for Employee 1 and either a coordinate from the graph or a description/image for Employee 2, I’ll compute the exact equations.