To plot this information on a scatter graph, we will have the number of movies on the x-axis and the number of bottles of wine on the y-axis. The budget set will be shaded to show the combinations of movies and bottles of wine that Khumo can afford.
Assuming the maximum number of movies is 50 and the maximum number of bottles of wine is also 50, we can set up the following graph:
- X-axis (Number of Movies): From 0 to 50 with interval of 10 (0, 10, 20, 30, 40, 50)
- Y-axis (Number of Bottles of Wine): From 0 to 50 with interval of 10 (0, 10, 20, 30, 40, 50)
Now, let's plot the points (movies, bottles of wine) that lie on the budget set. Each point represents a combination of movies and bottles of wine that Khumo can afford with her income.
For example, if she chooses to buy 10 movies, she can afford 10 bottles of wine. This point would be plotted at (10, 10) on the graph. Similarly, if she chooses to buy 40 movies, she can afford 40 bottles of wine. This point would be plotted at (40, 40) on the graph.
Once you have plotted all the points, shade the area below and to the left of the line connecting the origin (0, 0) to the point (50, 50). This shaded region represents Khumo's budget set, showing the combinations of movies and bottles of wine that she can afford.
I hope this helps! Let me know if you have any further questions.
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MathematicsEquations and InequalitiesGraphing
Maximum movies = Income / Price of a movie
Maximum movies = P500 / P10
Maximum movies = 50 movies
Let's assume Khumo spends all her income on bottles of wine. The maximum number of bottles of wine she can buy is given by:
Maximum bottles of wine = Income / Price of a bottle of wine
Maximum bottles of wine = P500 / P10
Maximum bottles of wine = 50 bottles of wine
Plot this information for me on a scattered graph and shade the budget set.
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