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. can someone please help me with this I'm so confused
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Sure, I can help you understand how to graph the cost of milk for the brand that is proportional. To do this, we need to understand what it means for a relationship to be proportional.
In a proportional relationship, the ratio of one quantity to another remains constant. In this case, we can represent the quantity of milk purchased (in gallons or half-gallons) on the x-axis and the cost of the milk on the y-axis. The relationship will be proportional if the ratio of the cost to the quantity remains the same.
Let's start with brand A, where the cost of milk is $3.50 per gallon. Since the relationship is proportional, the cost will be directly proportional to the quantity of milk. So, for every gallon of milk, the cost will be $3.50.
To graph this, you can create a table with the quantity of milk on the x-axis and the cost on the y-axis. For simplicity, let's assume we are only interested in the cost of milk up to 5 gallons. Here's how the table would look like:
Quantity of Milk (gallons) | Cost ($)
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1 | 3.50
2 | 7.00
3 | 10.50
4 | 14.00
5 | 17.50
Now, plot these points on a graph, with the x-axis representing the quantity of milk and the y-axis representing the cost. Then, connect these points with a straight line. The resulting graph will be a straight line that starts at the origin (0,0) and has a slope of 3.50.
Now, let's move on to brand B, which is a bit more complex. The cost of the milk is $3.00 for a half-gallon and there is also a one-time deposit of $1.50 for the glass jug. However, this deposit only needs to be paid once, and subsequent purchases will only involve the cost of the milk.
To simplify the graphing process, we can consider the quantity of milk in half-gallons. Let's assume we are interested in the cost of milk up to 10 half-gallons.
For the first half-gallon, the cost includes both the milk and the jug deposit, which is $3.00 + $1.50 = $4.50. For the second half-gallon and beyond, the cost only includes the price of the milk, which is $3.00.
Here's how the table for brand B would look like:
Quantity of Milk (half-gallons) | Cost ($)
--------------------------------------------------
1 | 4.50
2 to 10 | 3.00
Now, let's plot these points on a graph, following the same procedure as before. Use the x-axis to represent the quantity of milk (in half-gallons) and the y-axis to represent the cost. Plot the point (1, 4.50) and then plot a horizontal line from that point to represent the cost of subsequent purchases, which is $3.00.
In summary, the graph for brand A will be a straight line with a constant slope of $3.50, while the graph for brand B will be a stepped line that starts at (1, 4.50) and then continues horizontally at y = $3.00.
I hope this explanation helps you understand how to graph the cost of milk for the brand that is proportional!