Final answer:
A linear equation can be used to model the situation of making your juice. The base cost for materials is $20 and the cost per fluid ounce of juice is $0.50. With $100 to spend, the maximum number of fluid ounces of juice that can be made is 160.
Step-by-step explanation:
A linear equation can be used to model the situation of making your juice because the total cost can be determined based on the amount of juice made and the cost per fluid ounce. The equation would be in the form: total cost = base cost + (cost per fluid ounce * number of fluid ounces). This equation represents a straight line, which is a characteristic of linear equations.
The base cost for materials can be determined by finding the total cost when 0 fluid ounces of juice are made. The cost per fluid ounce of juice can be determined by finding the change in total cost when the number of fluid ounces increases by 1. From the given table, the base cost for materials is $20 and the cost per fluid ounce of juice is $0.50.
If you have $100 to spend on making your juice, you can use the equation: total cost = 20 + (0.50 * number of fluid ounces) and solve for the maximum number of fluid ounces of juice that can be made. In this case, the maximum number of fluid ounces of juice that can be made is 160 fluid ounces.