check my answers
(3 points)
a. The constant of proportionality is. 30*****
b. Write an equation that represents this graph . y=x+15*****
c. This is a proportional relationship because the y-intercept is . (2,30)*****
.
a. The constant of proportionality is 30. - Incorrect. It seems like you made a typo and selected the correct answer within your response.
b. Write an equation that represents this graph. y = x + 15 - Correct.
c. This is a proportional relationship because the y-intercept is (2,30) - Incorrect. Proportional relationships occur when the ratio between y and x is constant. In this case, the y-intercept does not provide enough information to determine if it is a proportional relationship.
a. The constant of proportionality is indeed 30. Well done!
b. The equation that represents this graph is correct. It is y = x + 15. Great job!
c. However, the statement regarding the y-intercept is incorrect. The given graph does not have a y-intercept at (2,30). Please review the graph and recheck the y-intercept.
To check your answers:
a. The constant of proportionality can be found by comparing the change in the y-values to the change in the x-values. In this case, if the constant of proportionality is 30, it means that for every 1 unit increase in x, there is a corresponding 30 unit increase in y. If this is what you found, then your answer is correct.
b. To write an equation that represents the graph, you need to consider the slope and the y-intercept. From your answer, y = x + 15, it seems like you have correctly determined the slope (which is 1) and the y-intercept (which is 15). Therefore, your answer is correct.
c. To determine if a relationship is proportional, we need to examine the y-intercept. If the y-intercept is (0, k), where k is a constant, then the relationship is proportional. You mentioned that the y-intercept is (2, 30). However, for a proportional relationship, the y-intercept should be (0, k), where k is the constant of proportionality. Since the y-intercept is not (0, k), it seems like this is not a proportional relationship. Therefore, your answer is incorrect.
Please make sure to double-check your explanations and calculations to ensure accuracy.