Based on the graph you uploaded, the line represents Rita's pay in dollars as a function of the number of hours worked.

Part (a) - How much does her pay increase for each hour worked?

From the graph, we can calculate the increase in pay per hour, which corresponds to the slope of the line. Looking at the points on the graph, when Rita works 3 hours, she earns $90, and when she works 0 hours, her pay is $0.

To calculate the increase per hour, we find the slope: $\text{Slope} = \frac{\Delta y}{\Delta x} = \frac{90 - 0}{3 - 0} = \frac{90}{3} = 30$ So, her pay increases by $30 for each hour worked.

Part (b) - What is the slope of the line?

The slope of the line, as calculated above, is 30.

Do you have any questions or need further details?

Here are some related questions to deepen understanding:

1. What is the base pay Rita receives if she doesn't work any hours?
2. How would the equation for Rita's pay look as a function of hours worked?
3. What would her pay be after working 6 hours?
4. How would the slope change if she earned $50 for each hour worked?
5. If the slope were 25, how would this affect her total pay after 4 hours?

Tip: The slope of a line in a graph of pay vs. hours worked always represents the rate of pay per hour.