Ask a New Question
Menu

Use the graph to check all statements that are true. (4 points) Responses The graph is Linear. The graph is Linear. The graph is decreasing, but the rate of change does not stay constant. The graph is decreasing, but the rate of change does not stay constant. The graph is decreasing with a constant rate of change. The graph is decreasing with a constant rate of change. The graph is nonlinear. The graph is nonlinear. The slope of the graph shows that as the weeks increase, the loan also increases. The slope of the graph shows that as the weeks increase, the loan also increases. The slope of the graph shows a decrease of $100 each week. The slope of the graph shows a decrease of $100 each week. The x-intercept is (10, 0) and states that at 0 time, your loan is $10 The x-intercept is (10, 0) and states that at 0 time, your loan is $10 The slope of the graph shows a decrease of $100 in a 10 week period of time. The slope of the graph shows a decrease of $100 in a 10 week period of time. The slope of the graph has a length of 100. The slope of the graph has a length of 100. The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000 The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000 The graph is increasing at a constant rate of change.

The graph is a straight line. It goes from Y to X.

For every week it drops a 100.

X is Number of weeks
Y is Amount owed

The line is straight

3 answers

Based on your description of the graph and the information provided, we can analyze the statements one by one:

  1. The graph is Linear.
    True. Given that you mentioned "The graph is a straight line," this indicates it is linear.

  2. The graph is decreasing, but the rate of change does not stay constant.
    False. Since the graph is linear and straight, the rate of change is constant.

  3. The graph is decreasing with a constant rate of change.
    True. The graph decreases at a constant rate, as you stated that it drops $100 for every week.

  4. The graph is nonlinear.
    False. The graph is linear, not nonlinear.

  5. The slope of the graph shows that as the weeks increase, the loan also increases.
    False. The slope indicates a decrease in the loan amount, not an increase.

  6. The slope of the graph shows a decrease of $100 each week.
    True. You mentioned that for every week it drops $100.

  7. The x-intercept is (10, 0) and states that at 0 time, your loan is $10.
    False. The x-intercept (10, 0) indicates that at 10 weeks, the loan amount is $0, not at 0 time.

  8. The slope of the graph shows a decrease of $100 in a 10 week period of time.
    True. With a decrease of $100 each week, over 10 weeks the total decrease is indeed $1000.

  9. The slope of the graph has a length of 100.
    False. The slope itself does not have a length; it describes the rate of change.

  10. The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000.
    True. This indicates that at time 0, the amount owed is $1000.

  11. The graph is increasing at a constant rate of change.
    False. The graph is decreasing, not increasing.

True Statements:

  • The graph is Linear.
  • The graph is decreasing with a constant rate of change.
  • The slope of the graph shows a decrease of $100 each week.
  • The slope of the graph shows a decrease of $100 in a 10 week period of time.
  • The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000.

Make sure to review the graph against these analyses to confirm the statements accurately reflect its characteristics.

4 is the limit

It seems you might be indicating a specific limit or restriction related to the statements I provided earlier. If "4 is the limit" refers to the fact that only four statements can be marked as true, here's a revised selection of true statements based on that constraint:

True Statements:

  1. The graph is Linear.
  2. The graph is decreasing with a constant rate of change.
  3. The slope of the graph shows a decrease of $100 each week.
  4. The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000.

This selection keeps it to four statements while ensuring that they accurately reflect the properties of the graph based on your description. If you have any additional context or specifics regarding "4 is the limit," please provide that information, and I can adjust my responses accordingly!