Five pounds of rice at a store cost $6.50. Rice seasoning cost $1.00 per bottle.

Question

Use the Ray tool to graph the total cost of rice and bottle of seasoning, C, vs pounds of rice, p, at this store.
a
What is the answer?

Okay I have a graph. On the bottom it says Rice (Ib) the numbers are 1 2 3 4 5 6 7 8 9 10. Now on the side the number are like 0.5 then 1 then 1.2 then 2.5 the 3 and so forth it is a pattern of the decimals.

Okay so I don't know where (1, 2.30) is.

But there is no numbers between 2.0 and 2.5 with my graph I can't but a dot between them I can only do 2.0 or 2.5

Answer 1

To determine the total cost \( C \) based on the amount of rice \( p \), we'll first define the relationship mathematically.

1. Cost of Rice: The cost of 5 pounds of rice is $6.50. Therefore, the cost of 1 pound of rice is: \[ \text{Cost per pound of rice} = \frac{6.50}{5} = 1.30 \text{ dollars} \]

   So, if you buy \( p \) pounds of rice, the cost of the rice can be expressed as: \[ \text{Cost of rice} = 1.30p \]

2. Cost of Seasoning: Each bottle of rice seasoning costs $1.00. Assuming you buy 1 bottle regardless of the amount of rice, the cost of seasoning would simply be: \[ \text{Cost of seasoning} = 1.00 \]

3. Total Cost: The total cost \( C \) can be expressed as: \[ C = \text{Cost of rice} + \text{Cost of seasoning} = 1.30p + 1.00 \]

This is the equation that you will graph.

Explanation of Points

Now, let's calculate some points based on this equation:

• For \( p = 1 \): \[ C = 1.30(1) + 1.00 = 2.30 \]

• For \( p = 2 \): \[ C = 1.30(2) + 1.00 = 3.60 \]

• For \( p = 3 \): \[ C = 1.30(3) + 1.00 = 4.90 \]

• For \( p = 4 \): \[ C = 1.30(4) + 1.00 = 6.20 \]

• For \( p = 5 \): \[ C = 1.30(5) + 1.00 = 7.50 \]

• For \( p = 6 \): \[ C = 1.30(6) + 1.00 = 8.80 \]

• For \( p = 7 \): \[ C = 1.30(7) + 1.00 = 10.10 \]

• For \( p = 8 \): \[ C = 1.30(8) + 1.00 = 11.40 \]

• For \( p = 9 \): \[ C = 1.30(9) + 1.00 = 12.70 \]

• For \( p = 10 \): \[ C = 1.30(10) + 1.00 = 14.00 \]

Plotting the Points

Using the points calculated:

• (1, 2.30)
• (2, 3.60)
• (3, 4.90)
• (4, 6.20)
• (5, 7.50)
• (6, 8.80)
• (7, 10.10)
• (8, 11.40)
• (9, 12.70)
• (10, 14.00)

If your graph does not allow for a dot between 2.0 and 2.5 to represent 2.30, you can simply plot it as close to the 2.0 mark as possible while keeping it above the line for better visual representation.

Make sure you visually connect these points if they are plotted or you can linearly connect them as typically the total cost will increase in a straight line.

Conclusion

If you need to know how to visualize where (1, 2.30) lies on your graph, remember it's just slightly above the 2.0 mark. If you can only use whole numbers or whole halves, graph it as closely above 2.0 as possible.