Question

24. Susie made the graph below to show data for her hours worked and dollars earned. Joe found

that the equation y = 4x + 30 can be used to model his data. Compare the slopes and y-
intercepts for Susie's and Joe's data. Explain what both of these mean in terms of the context.

Part A: Compare the slopes of Susie's and Joe's data.
Earnings at Work

Part B: Explain the meaning of Joe's slope in the context to the
problem.

Part C: Compare the y-intercepts of Susie's and Joe's data.

Part D: Explain the meaning of Susie's y-intercept in the context to the problem.

Answer 1

Without Susie's graph or equation, we cannot compare her slope or y-intercept with Joe's. Joe's slope represents his pay rate of $4 per hour, and his y-intercept likely represents a fixed amount or start pay of $30 before any hours are worked.

Step-by-step explanation:

To compare the slopes of Susie's and Joe's data, we need the equation that represents Susie's data which has not been provided in the question. However, Joe's equation is given as y = 4x + 30. The slope here is 4, which means for every additional hour Joe works, he earns an extra $4. Without Susie's data, we cannot make a comparison.

Part B

The meaning of Joe's slope in context is straightforward: the slope (4) represents his hourly wage rate. Essentially, it means that for each hour he works, he earns $4. This is useful for predicting earnings for any number of hours worked.

Part C

Similarly, to compare the y-intercepts of Susie's and Joe's data, we would need Susie's y-intercept. Joe's y-intercept is 30, as seen in the equation of his line.

Part D

Without specific information on Susie's y-intercept, we can only infer its meaning in general terms. In the context of earnings and hours worked, a y-intercept represents the amount of money earned without working any hours. It could be seen as a starting amount or a fixed base pay irrespective of hours worked.