3. Use the graph to answer the questions.
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. The constant of proportionality is Response area
b. Write an equation that represents the linear graph. Response area
c. This is a proportional relationship because the graph shows Response area .
a. The constant of proportionality is the slope of the line.
b. An equation that represents the linear graph can be written as y = mx + b, where m is the slope of the line and b is the y-intercept.
c. This is a proportional relationship because the graph shows a straight line that passes through the origin (0,0), indicating that the ratio of y and x remains constant.
no ur wrong
maybe if you had a graph to show him tj lol, he doesnt know what to do
a. The constant of proportionality is Response area:
To determine the constant of proportionality, we need to find the ratio between the change in the dependent variable (y-values) and the change in the independent variable (x-values) for any two points on the graph.
b. Write an equation that represents the linear graph:
To write an equation representing a linear graph, we need the slope (m) and the y-intercept (b) of the line. With those values, we can use the slope-intercept form of a linear equation: y = mx + b.
c. This is a proportional relationship because the graph shows Response area:
A proportional relationship is where the ratio between the dependent and independent variables remains constant. In this case, the relationship is proportional if the graph is a straight line passing through the origin (0,0).
To answer these questions using the given graph, follow these steps:
a. The constant of proportionality is the ratio of the change in the dependent variable (y) to the change in the independent variable (x). To find it, select two points on the graph that are on the same line. Then, calculate the ratio of the change in y to the change in x. This will give you the constant of proportionality.
b. To write an equation that represents the linear graph, you need to use the slope-intercept form of a linear equation, which is y = mx + b. To find the slope (m), select two points on the graph and calculate the change in y divided by the change in x. Once you have the slope, substitute it into the equation along with the y-intercept (b) value, which is the y-value when x = 0.
c. A graph represents a proportional relationship if it forms a straight line passing through the origin (0,0). Check if the graph passes through the origin. If it does, then it represents a proportional relationship. If it doesn't, then it does not represent a proportional relationship.