Answer: function 1
Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4
To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)
Gradient of function 2 = (10 - 6)/(3 - 1)
= 2
Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
Answer:
Yes it can be be the reflected figure
Answer:
30
Step-by-step explanation:
boys: girls : total
3 7 3+7 =10
The total number of students must be a multiple of 10
The class size is between 22 and 34
The only multiple of 10 between those numbers is 30
10,20,<u>30</u>,40
Therefor the class size must be 30
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. This gives you such reflection rule:

From the diagram:
L(3,1), M(4,3), N(5,3) and P(4,1).
Using the reflection rule, you can find coordinates of image points:
L'(1,3), M'(3,4), N'(3,5) and P'(1,4).
As you can see, these are coordinates of vertices of the figure C.
Answer: correct choice is option 3 - figure C.
we have that

we know that
If two lines are parallel
then
their slopes are equals
and
if two lines are perpendicular
then
the product of their slopes is equal to 
step 1
find the slope of the line segment AB



step 2
find the slope of the line segment CD




therefore
the answer is
Line segments AB and CD are perpendicular