Answer:
q = 7p
Step-by-step explanation:
given q is directly proportional to p then the equation relating them is
q = kp ← k is the constant of proportion
To find k use the condition q = 28 when p = 4 , then
28 = 4k ( divide both sides by 4 )
7 = k
q = 7p ← equation of proportion
Answer:
a. 20 points
Step-by-step explanation:
Range = Largest given value - Smallest given value.
<u>Identifying the range of test 1</u>
Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.
So range of test 1 = 90 - 50 = 40
<u>Identifying the range of test 2</u>
Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100
So range = 100 - 40 = 60
<u>Identifying the differences between the ranges</u>
Test 1 range : 40
Test 2 range : 60
Difference between the two : 60 - 40 = 20 points
The slope of the line is 2.
<u>Step-by-step explanation:</u>
The given points are (5,-3) , (6,-1) , (7,1) , (8,3).
To find the slope of the line that contain these points is calculated by the slope formula.
Slope = 
Take any two points from the given set of points.
Let,
(x1,y1) = (5,-3)
(x2,y2) = (6,-1)
Slope =
⇒ 2
Therefore, the slope of the line is 2.
Similarly, the slope of the line can be known by using any two points on the line in the slope formula.
Answer:
8. none
Step-by-step explanation:
20√288
=240√2
=339