Answer:
y = -2x + 3
Step-by-step explanation:
Let's just put the three points together.
(-1, 5) (-4, 11) (-7, 17)
First, let's find the slope with y2 - y1/x2 - x1
Plug in using (-1, 5) and (-4, 11)
11 - 5/-4 + 1 = 6/-3 (simplify)
-2 is the slope
Now plug in (-7, 17) in the equation to get b or the y-intercept)
y = mx + b
17 = -2(-7) + b
17 = 14 + b (subtract 14 on both sides)
3 = b
y = -2x + 3
a) 9 toilet rolls cost $ 4.23
1 toilet roll costs $ x
9x = 4.23 * 1
x= 4.23 / 9
x = 0.47
So in first case one toilet roll costs $ 0.47.
b) 4 toilet rolls cost $1.96
1 toilet roll costs $ x
4x = 1.96 * 1
x = 1.96 / 4
x = 0.49
So in second case one toilet roll costs $ 0.49.
0.47 < 0.49
The toilet roll in first case is cheaper than the toilet roll in second case.
Hope this heps!
Answer:
a
Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint
b
The number is 
c
The price is 
Step-by-step explanation:
From the question we are told that
The ratio of the number of cups of blue paint to the number of cups of red paint is 
Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint
Given that 1 cup of red paint => 3 cups of blue paint
x cup of red paint => 1 cup of blue paint
So

=> 
Generally the unit price of a cup of blue paint is mathematically represented as

=> 
Answer:
7/30
Step-by-step explanation:
-3/9 * -56/80
-3/9= -1/3
-56/80 = -7/10
-1/3(-7/10)
1(7) / 3(10)
7/30 or 0.2333