man, could you get any wordier? How the axes are divided makes no freakin' difference.
The rate of change for each graph is in units of y/x
If the graph does not go through (0,0) it is not a proportion (y = kx)
For A, recall that the intercept form of a line is
x/a + y/b = 1
if the intercepts are at (a,0) and (0,b). That makes the slope = -b/a
Consider the following graphs.
The figure shows two graphs in the xy-plane. The graph on the left is labeled as Graph Upper A. The x-axis is labeled as Time left parenthesis seconds right parenthesis and the y-axis is labeled as Elevation left parenthesis feet right parenthesis. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range from 0 to 360 in increments of 40. A line starts from a point just above 240 on the y-axis, goes down to a point just to the right of 8 on the x-axis. The graph on the right is labeled as Graph Upper B. The x-axis is labeled as Number of Loaves and the y-axis is labeled as Amount of Flour left parenthesis cups right parenthesis. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range from 0 to 18 in increments of 2. A line starts from the origin, goes up, and passes through (2, 5), (4, 10), and so on.
a. Determine the rate of change shown in each graph and determine if each is positive or negative.
b. Restate the rate of change as a unit rate for each graph. Explain its meaning.
c. Tell whether the graphs represent proportional relationships. Explain your reasoning.
1 answer
1 answer