Answer:
5) a) S : 3 4 5 6 7 8
P : 5 30 55 80 105 130
b) If Sandy win no sets, he will lose $70.
c) Sandy has to win atleast 3 sets to winning money rather than losing money.
6) a) When the base length increases by 1, the perimeter increase by 2 units this is because when the base increase, the figure expands by perimeter by 2 units.
b) Find the perimeter when the base length is
i) Plug in L = 4 in the given rule.
P = 2(4) + 3
P = 8 + 3
P = 11
ii) Plug in L = 5 in the given rule.
P = 2(5) + 3
P = 10 + 3
P = 13
iii) Plug in L = 10.
P = 2(10) + 3
P = 23
iv) Plug in L = 100
P = 2(100) + 3
P = 203
v) Plug in L = 68
P = 2(68) + 3
P = 136+ 3
P = 139
c) The base length can be zero. If there is no base the figure start from a point.
In this case, perimeter of figure is 3.
Step-by-step explanation:
5) a) Here the rule is P = 25s - 70
S : 3 4 5 6 7 8
P : 5 30 55 80 105 130
b) What happens to P if no sets are won?
In this case, s =0. Now plug s = 0 in the given rule
P = 25(0) - 70
P = -70
If Sandy win no sets, he will lose $70.
c) How many sets must Sandy win to be sure of winning money rather than losing money overall?
Sandy has to win atleast 3 sets to winning money rather than losing money.
Plug in s = 3 in the given rule.
P = 25(3) - 70
P = 75 - 70
P = $5
6) Explain why the rule works.
When the base length increases by 1, the perimeter increase by 2 units this is because when the base increase, the figure expands by perimeter by 2 units.
b) Find the perimeter when the base length is
i) Plug in L = 4 in the given rule.
P = 2(4) + 3
P = 8 + 3
P = 11
ii) Plug in L = 5 in the given rule.
P = 2(5) + 3
P = 10 + 3
P = 13
iii) Plug in L = 10.
P = 2(10) + 3
P = 23
iv) Plug in L = 100
P = 2(100) + 3
P = 203
v) Plug in L = 68
P = 2(68) + 3
P = 136+ 3
P = 139
c) Can the base length ever be zero? Explain your answer.
The base length can be zero. If there is no base the figure start from a point.
In this case, perimeter of figure is 3.
Let's plug in L =0 in the given rule.
P = 2(0) + 3
P = 3
Hope this will help you.
Thank you.
