Use the table to answer the question. x y (x, y) 0 (0, ) 1 (1, ) 2 (2, ) Complete the ordered pairs in the table by finding the y -value of the ordered pairs for the equation y=5x . (1 point) Responses (0, 0), (5, 1), (10, 2) left parenthesis 0 comma 0 right parenthesis , left parenthesis 5 comma 1 right parenthesis , left parenthesis 10 comma 2 right parenthesis (0, 0), (1, 15) , (2, 25) left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma Start Fraction 1 over 5 End Fraction right parenthesis , left parenthesis 2 comma Start Fraction 2 over 5 End Fraction right parenthesis (0, 0), (1, 5), (2, 10) left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma 5 right parenthesis , left parenthesis 2 comma 10 right parenthesis (0, 0), (1, 5), (3, 15)

9 answers

To complete the ordered pairs in the table using the equation \( y = 5x \), we will calculate the y-values for each corresponding x-value.

  • For \( x = 0 \):
    \( y = 5(0) = 0 \)
    So, the ordered pair is \( (0, 0) \).

  • For \( x = 1 \):
    \( y = 5(1) = 5 \)
    So, the ordered pair is \( (1, 5) \).

  • For \( x = 2 \):
    \( y = 5(2) = 10 \)
    So, the ordered pair is \( (2, 10) \).

Putting this all together, the ordered pairs are:

  • \( (0, 0) \)
  • \( (1, 5) \)
  • \( (2, 10) \)

The correct response is: (0, 0), (1, 5), (2, 10).

The graph displays the cost per ounce of canned peas. Use the graph to determine the unit rate of the proportional relationship. (1 point) Responses Canned peas cost $10 per ounce. Canned peas cost $10 per ounce. Canned peas cost $0.10 per ounce. Canned peas cost $0.10 per ounce. Canned peas cost $3.00 per ounce. Canned peas cost $3.00 per ounce. Canned peas cost $30 per ounce. Canned peas cost $30 per ounce. Skip to navigation

To determine the unit rate of the proportional relationship from the graph displaying the cost per ounce of canned peas, you need to identify the cost associated with one ounce of the product.

Without the actual graph, we can guide you on how to find the correct unit rate:

  1. Look for the cost that corresponds to one ounce on the graph.
  2. If the graph indicates, for example, that the cost for 10 ounces is $1.00, then to find the cost per ounce, you would divide the total cost by the number of ounces:
    \[ \text{Cost per ounce} = \frac{\text{Total cost}}{\text{Number of ounces}} = \frac{1.00}{10} = 0.10 \text{ per ounce} \]

Using the responses provided, if you find similar calculations leading to $0.10 per ounce, that would be the correct choice.

If the graph states other values, make sure to perform the same division to confirm the unit rate. Based on the options listed, if the cost per ounce determined from the graph is indeed $0.10, then the correct response would be: Canned peas cost $0.10 per ounce.

The proportional relationship between the cost of gasoline and the number of gallons of gasoline from Store A and Store B are displayed in the graphs. Use the graphs to interpret the store that has the cheaper cost of gasoline per gallon. (1 point) Responses Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon. Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon. Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon. Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon. Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon. Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon. Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon.

To determine which store has the cheaper cost of gasoline per gallon based on the graphs you mentioned, you would typically look for the y-intercept of the graphs (the cost at 0 gallons) or the slope of the lines (which indicates the cost per gallon).

Without seeing the actual graphs, here's how you would analyze them:

  1. Look at the cost per gallon: Check the value of the y-coordinate (cost) when gallons are equal to 1. This represents the cost for one gallon of gasoline.

  2. Determine the cheaper option: Compare the prices (cost per gallon) from Store A and Store B. The store with the lower y-value at the corresponding x-value will have the cheaper cost.

Given your responses:

  • If Store A has a cost of $0.25 per gallon, then it seems to be a very low price compared to typical gasoline prices.
  • If Store B lists $3.50 per gallon, that is higher than Store A's price.
  • Additional options mention $5 per gallon for Store A and more unrealistic prices like $100 per gallon, which likely indicate a misunderstanding or error.

Based on typical gasoline price considerations:

  • If Store A's cost is indeed $0.25 per gallon, while Store B is at $3.50 per gallon, then Store A is clearly the cheaper option.

Thus, the correct response would be: Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.

If there are any specifics or clarifications you'd like to provide regarding your graphs, feel free to share!

The average points scored playing basketball for Player A and Player B are graphed in the graphs. Determine which player averaged more points per game. (1 point) Responses Player B averaged more points than Player A. Player B averaged 75 points per game. Player B averaged more points than Player A. Player B averaged 75 points per game. Player A averaged more points than Player B. Player A averaged 20 points per game. Player A averaged more points than Player B. Player A averaged 20 points per game. Player B averaged more points than Player A. Player B averaged 45 points per game. Player B averaged more points than Player A. Player B averaged 45 points per game. Player A averaged more points than Player B. Player A averaged 80 points per game. Player A averaged more points than Player B. Player A averaged 80 points per game.

To determine which player averaged more points per game based on the graphs you referenced, you would ideally look at the y-values (points scored) corresponding to the players on the graph.

Based on the responses you've provided, here’s how they break down:

  1. Response 1: Player B averaged more points than Player A. Player B averaged 75 points per game.
  2. Response 2: Player A averaged more points than Player B. Player A averaged 20 points per game.
  3. Response 3: Player B averaged more points than Player A. Player B averaged 45 points per game.
  4. Response 4: Player A averaged more points than Player B. Player A averaged 80 points per game.

You will need the y-values from the graphs to identify which player had a higher average. Here’s how to analyze the information:

  • If Player A averaged 20 points and Player B averaged 75 points, then Player B is the clear winner.
  • If Player B averaged 45 points and Player A averaged 80 points, then Player A has the higher average.
  • The player with the higher listed average in the other scenarios must also be taken into account.

Assuming you have the respective average values from the graphs:

  • If the graph indicates that Player A averaged 80 points, this would make Player A the player who averaged more.
  • If Player B averaged 75 points or 45 points, then Player A still remains the superior average if their score is higher than those.

Based on the mentioned options, if for any instance Player A averaged 80 points per game, you can conclusively say: Player A averaged more points than Player B. Player A averaged 80 points per game.

Otherwise, if Player B had the higher average, insert the suitable response about Player B being the higher scorer.

Pick the one that aligns with your graph's actual data!

What is the slope of the line? (1 point) Responses −2 negative 2 −1 negative 1 1 1 2

To determine the slope of a line, you need to know two points on that line or the coordinates of the endpoints of the line segment. The slope (m) is calculated using the formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the line.

Without specific points or additional information about the line, I can’t directly calculate the slope. However, based on the responses you provided, possible slopes include:

  • \( -2 \)
  • \( -1 \)
  • \( 1 \)
  • \( 2 \)

To identify which value is correct, you could:

  1. Identify points on the line (if provided elsewhere in your question).
  2. Use the slope formula to calculate the slope using the coordinates of the two points.

For instance, if you had points such as \( (1, 2) \) and \( (3, 6) \):

\[ m = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2 \]

If you provide the coordinates or additional detail about the line, I can help you determine the precise slope! If you specifically know the slope from the context of a graph or equation, choose the corresponding value based on your knowledge of that line.

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