Final answer:
To sketch a graph of the solutions, create a coordinate plane where the x-axis represents the number of individual songs and the y-axis represents the number of albums. Use the equation 0.50x + 4y = 15 to find different points to plot on the graph. Connect these points to get the graph of the solutions.
Step-by-step explanation:
To sketch a graph of the solutions to this situation, we can create a coordinate plane where the x-axis represents the number of individual songs downloaded and the y-axis represents the number of albums downloaded. Let's assume that Jada downloads x individual songs and y albums. The cost of downloading x individual songs is $0.50x and the cost of downloading y albums is $4y. Since Jada has $15 to spend, we can write the equation 0.50x + 4y = 15.
To plot the graph, we can create a table of values by selecting different values for either x or y and solving for the other variable. For example, if we let x = 0, then 4y = 15, which gives us y = 15/4. Similarly, if we let y = 0, then 0.50x = 15, which gives us x = 15/0.50. We can continue this process to find more points and plot them on the graph. Connecting these points will give us the graph of the solutions.
For example, if we choose x = 6, then 0.50(6) + 4y = 15, which gives us 3 + 4y = 15. Solving for y, we get y = 3.