The graph below shows the relationship between the number of minutes Ray walks and the number of calories he burns.
Which equation can be used to find the number of calories
Ray burns when he walks for
minutes?
A
�=�−4y=x-4y=x−4
B
�=�4y=\frac{x}{4}y=
4
x
C
�=�+4y=x+4y=x+4
D
�=4�y=4xy=4x
The correct equation is D) �=4�y=4xy=4x.
This is because the graph shows a linear relationship where the number of calories burned is directly proportional to the number of minutes walked. The equation for a linear relationship is y=mx, where m is the slope. In this case, the slope is 4, which means that for every x (number of minutes), there are 4 calories burned.
The assignment was to draw a graph through the point (-5, -2) with a slope of 2. One student drew the graph below, but it was incorrect.
Choose the two statements below that are true.
A
The student incorrectly graphed the point (-5, -2).
B
If the graph was correct, it would also include the point (-4, 0).
C
The student graphed a line with a slope of -2 instead of a slope of 2..
D
The student graphed a line with a slope of 1 instead of a slope of 2.
The two statements that are true are:
C) The student graphed a line with a slope of -2 instead of a slope of 2.
D) The student graphed a line with a slope of 1 instead of a slope of 2.
Both statements point out errors in the student's graph. The given point (-5, -2) and the correct slope of 2 suggest that the line should have a positive slope. Therefore, options A and B are incorrect. Option C correctly identifies that the student graphed a line with a slope of -2, opposite to the given slope of 2. Option D points out that the student graphed a line with a slope of 1, which is incorrect as well.
Which graph correctly shows the line passing through the point (0, 3) with a slope of
?
A
B
C
D