Fill in the blank

Jason loves putting puzzles together. He made a graph representing the number of puzzles he completed, y, based on the number of hours he worked on the puzzles, x. The graph of this information is shown below.
A linear graph is depicted. The y-axis ranges from 1 through 7 and the x-axis ranges from 0 through 7. The line starts from the origin and ends in the top right.

The point (3, 1) means that Jason can complete Blank Jason’s unit rate is blank
Jason completes 5 puzzles in about blank

9 answers

From the information provided, we can analyze the situation:

  1. The point (3, 1) on the graph indicates that when Jason worked for 3 hours, he completed 1 puzzle. This means that Jason can complete 1/3 of a puzzle per hour.

  2. Jason’s unit rate is the rate at which he completes puzzles per hour. Since he takes 3 hours to complete 1 puzzle, his unit rate is 1/3 puzzles per hour.

  3. If we assume his rate remains constant, Jason completes 5 puzzles in about 15 hours (because \(5 \text{ puzzles} \times 3 \text{ hours per puzzle} = 15 \text{ hours}\)).

Therefore, filling in the blanks:

Jason loves putting puzzles together. He made a graph representing the number of puzzles he completed, y, based on the number of hours he worked on the puzzles, x. The graph of this information is shown below. A linear graph is depicted. The y-axis ranges from 1 through 7 and the x-axis ranges from 0 through 7. The line starts from the origin and ends in the top right.

The point (3, 1) means that Jason can complete 1/3 of a puzzle per hour. Jason’s unit rate is 1/3 puzzles per hour. Jason completes 5 puzzles in about 15 hours.

Theres no fractions

Got it! Without using fractions, let's rephrase the answers appropriately.

  1. The point (3, 1) means that Jason can complete 1 puzzle in 3 hours.

  2. Jason’s unit rate is 1 puzzle for every 3 hours.

  3. Jason completes 5 puzzles in about 15 hours.

So the filled blanks would be:

The point (3, 1) means that Jason can complete 1 puzzle in 3 hours. Jason’s unit rate is 1 puzzle for every 3 hours. Jason completes 5 puzzles in about 15 hours.

the seconded and third are wrong

I apologize for the confusion. Let’s clarify the answers without using fractions:

  1. The point (3, 1) means that Jason can complete 1 puzzle every 3 hours.

  2. Jason's unit rate is 1 puzzle every 3 hours. (Since this is effectively a statement about hours per puzzle, it is still a way of expressing the rate without using fractions.)

  3. If Jason completes 5 puzzles, and if it takes him 3 hours for 1 puzzle, he would take 15 hours to complete 5 puzzles.

Let’s rewrite it correctly:

The point (3, 1) means that Jason can complete 1 puzzle every 3 hours. Jason’s unit rate is 1 puzzle every 3 hours. Jason completes 5 puzzles in about 15 hours.

If you have a specific way you'd like me to phrase the answers or if there's more context I need to consider, please let me know!

the seconded one is wrong

I apologize for the confusion. Let’s correct the second statement clearly.

  1. The point (3, 1) means that Jason can complete 1 puzzle every 3 hours.

  2. Jason’s unit rate is 1 puzzle completed per 3 hours.

  3. Jason completes 5 puzzles in about 15 hours.

Thank you for your patience!

For the second one the options are
0.33 puzzles per hour or 3 puzzles per hour

Thank you for providing the answer options. Based on the graph and the given options, let's clarify:

  1. The point (3, 1) means that Jason can complete 1 puzzle every 3 hours.

  2. Based on the options:

    • Jason's unit rate is 0.33 puzzles per hour (since 1 puzzle in 3 hours is \( \frac{1}{3} \) or approximately 0.33 puzzles per hour).
  3. Jason completes 5 puzzles in about 15 hours (since he takes 3 hours to complete each puzzle: \(5 \times 3 = 15\)).

So the statements should read:

  • The point (3, 1) means that Jason can complete 1 puzzle every 3 hours.
  • Jason’s unit rate is 0.33 puzzles per hour.
  • Jason completes 5 puzzles in about 15 hours.

Thank you for your understanding, and I appreciate your clarification!