Final answer:
To represent the situation, the equation 0.50x + 4y = 15 can be used. By selecting two values for x and calculating the corresponding values for y, a graph can be drawn to represent the solutions to the equation.
Step-by-step explanation:
To create an equation representing the situation, let's assume x represents the number of individual songs downloaded and y represents the number of albums downloaded. The cost of downloading an individual song is $0.50 and the cost of downloading an album is $4. Isabella has $15 to spend on downloading music. We can create the equation:
0.50x + 4y = 15
To sketch a graph of the solutions to this equation, we need to find two points on the graph. We can choose any two values for x or y and calculate the corresponding values for the other variable. For example, if we choose x = 0, then y = (15 - 0.50 * 0)/4 = 15/4 = 3.75. Another point could be x = 5, then y = (15 - 0.50 * 5)/4 = 15/4 - 5/2 = -2.5.
By plotting these two points on the graph, we can draw a line that represents all the solutions to the equation.