The following are the results of the calculations
1) -8
2) 8
3) 3
4) -4
5) -3
6) -4
7) 27
8) r = -4s + 23
How to interpret linear relationship between two variables.
From the given information
1) If ∆s = 2, then
∆r = 11-19 = -8
2) If ∆s = -2, then
∆r = 19 - 11 = 8
3) If s = 5, then r
s increases by 2 units why r decreases by 8 units
s = 3 + ∆s
= 3 + 2
= 5
Also when s = 5
r = 11 + ∆r
= 11 + (-8)
= 11 - 8
= 3
4) If ∆s =1
It means the rate is divided by 2
So, ∆r = -8/2
= -4
5) If ∆s = 7 , it means that the rate is increased by a factor of 5
∆r = -8 + 5
= -3
6) The constant rate of change of r with s equals
∆r/∆s = slope
-8/2 = -4
This means, as s increases by unit of 1 r decreases by the absolute value |4|.
7) If s = 0,
r = 19 -(-8)
= 19+8
= 27
8) Slope = -4
using equation of line
r = m(s) + b
At point (11,3)
r-11 = -4(s -3)
r = -4s +12 +11
r = -4s + 23.