Use the drawing tool(s) to form the correct answer on the provided graph.

Question

A small grocery store offers two different brands of milk.

Brand A 2% milk costs $3.50 a gallon.
Brand B whole organic milk costs $3.00 for a half-gallon plus a one-time deposit of $1.50 for the glass jug. Once the glass jug deposit has been paid, the jug can be brought back to the store and the deposit doesn't have to be paid for each additional half-gallon milk that is purchased.
Graph the cost of milk for the brand that is proportional.

Answer 1

To graph the cost of milk for a proportional brand (Brand A in this case), we'll plot the total cost based on the price per gallon.

1. Cost of Brand A (2% milk):
   • Cost: $3.50 per gallon
   • Let \( x \) be the number of gallons bought.
   • Total cost for Brand A can be represented as: \( C_A = 3.50x \)

Since the value is directly proportional to the number of gallons, the graph will be a straight line that starts at the origin (0, 0).

2. Graphing Brand A:

   • We'll choose a few values for \( x \) (gallons):
     • For \( x = 0 \): \( C_A = 3.50(0) = 0 \)
     • For \( x = 1 \): \( C_A = 3.50(1) = 3.50 \)
     • For \( x = 2 \): \( C_A = 3.50(2) = 7.00 \)
     • For \( x = 3 \): \( C_A = 3.50(3) = 10.50 \)

3. Plot these points on a graph:

   • The points to plot will be:
     • (0, 0)
     • (1, 3.5)
     • (2, 7)
     • (3, 10.5)

Once you plot these points and connect them, you should see a straight line representing the cost of Brand A.

If you're using graph paper or a digital graphing tool, place these points accordingly and draw the line.

Brand B is not directly proportional due to the initial deposit and additional pricing structure, so it is not plotted as a proportional line. Its costs will not yield a straight line through the origin, which makes it the non-proportional option.

If you need to visualize this on a specific graphing tool, please use the points mentioned for Brand A or any method in your provided tool to demonstrate the plotted points and line accordingly.