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Jesse used 13 pints of paint for five paintings how many pints does he use for each painting how many paintings will he complete if he uses 44 pints how many pints will he need for 29 paintings

1st graph
Pts. Paintings
13. 5
13. 1
44. 3.38
377. 29
2cd graph
Pts. Paintings
13. 5
0.38. 1
44. 115.7
11.02. 29
3rd graph
Pts. Paintings
13. 5
2.6. 1
44. 114.4
75.4. 29
4th graph
Pts. Paintings
13. 5
2.6. 1
44. 16.92
75.4. 29

1 answer

Let's break down the calculations step by step based on the information provided.

  1. Calculate paint used per painting:

    • Jesse used 13 pints of paint for 5 paintings.
    • To calculate how much paint is used for each painting: \[ \text{Paint per painting} = \frac{13 \text{ pints}}{5 \text{ paintings}} = 2.6 \text{ pints per painting} \]

  2. Calculate how many paintings he can complete with 44 pints:

    • Since each painting requires 2.6 pints, to find out how many paintings can be completed with 44 pints: \[ \text{Number of paintings} = \frac{44 \text{ pints}}{2.6 \text{ pints/painting}} \approx 16.92 \text{ paintings} \]

  3. Calculate how many pints will be needed for 29 paintings:

    • To find the total amount of paint needed for 29 paintings: \[ \text{Total pints needed} = 29 \text{ paintings} \times 2.6 \text{ pints/painting} = 75.4 \text{ pints} \]

Summary of Calculations:

  • Paint used per painting: 2.6 pints
  • Number of paintings with 44 pints: 16.92 paintings
  • Pints needed for 29 paintings: 75.4 pints

Graph Data:

Now let's match this with the provided graph options.

From the values calculated: 1st graph:

  • 13 pints for 5 paintings (Correct)
  • 13 pints for 1 painting (Incorrect; should be 2.6, not 13)
  • 44 pints for around 16.92 paintings (Not correctly listed)
  • 377 pints for 29 paintings (Incorrect)

2nd graph:

  • 13 pints for 5 paintings (Correct)
  • 0.38 for 1 painting (Incorrect; should be 2.6)
  • 44 pints for 115.7 (Incorrect; should be about 16.92)
  • 11.02 for 29 paintings (Incorrect)

3rd graph:

  • 13 pints for 5 paintings (Correct)
  • 2.6 pints for 1 painting (Correct)
  • 44 pints for 114.4 (Incorrect; should be about 16.92)
  • 75.4 pints for 29 paintings (Correct)

4th graph:

  • 13 pints for 5 paintings (Correct)
  • 2.6 pints for 1 painting (Correct)
  • 44 pints for 16.92 (Correct)
  • 75.4 pints for 29 paintings (Correct)

Conclusion:

The 4th graph contains the correct calculations and matches the derived values best:

  • 13 pints for 5 paintings
  • 2.6 pints for 1 painting
  • 44 pints for about 16.92 paintings
  • 75.4 pints for 29 paintings