ANSWER TO 1ST PAGE:
A) Solution:
From graph it is clear that:
The line cuts x-axis at 6 and y-axis at 3,i.e, points (6,0) &(0,3) are the 2 points on that line.So,we use
↪m=(y2-y1)/(x2-x1)
=(0-3)/(6-0)
=-1/2
B)i Solution:
Comparing the eqn with y=mx+c,
↪m=2/5
B)ii Solution:
Rewriting and arranging given eqn in slope intercept form,
↪2y-6=-x-5
or, 2y=-x-5+6
or, 2y=-x+1
or, y=(-1/2)x+(1/2)
Comparing the eqn with y=mx+c,
↪m=-1/2
C) Solution:
From the table:
(x1,y1)=(0,4)
(x2,y2)=(3,6.5)
(x3,y3)=(6,9)
So,
m=(y2-y1)/(x2-x1)
= (6.5-4)/(3-0)
=2.5/3
=(2.5×10)/(3×10)
=25/30=5/6
[Note: u can also use: m=(y3-y2)/(x3-x2) or any two points given to find slope]
D)i Solution:
↪3x+5y=15
or, 5y=15-3x
or, y=(-3/5)x+3
Comparing it with y=mx+c,
↪m=-3/5
D)ii Solution:
↪4x-y=8
or, y=4x-8
Comparing it with y=mx+c,
↪m=4
Answer to 2nd page:
Rate of change
=(change in grapefruits no)/(change in costs)
=(3-6)/(4.75-8.5)
=4/5
Significance:
Rate of change is a rate that describes how one quantity changes in relation to another quantity. It is related to this problem as it has helped us to determine at which rate does the price changes with the change in quantity or no of grapes
