Answer:
y=-1/2n+44
Step-by-step explanation:
The number of bean stalks, n, represents the x values
The yield, y, represents the y values
After reading the problem, we have two coordinates: (30,29) and (32, 28) Because this problem is asking for y=mn+b, we have to find the slope. How do we find the slope? We do so by using the slope formula y2-y1/x2-x1. Now let's input the coordinates into this formula.
1.) 28-29/32-30 = -1/2
Let's plug -1/2 into y=mn +b
2.) y=-1/2n+b
Now we have to find what b ( y intercept) equals. To find B, we plug a coordinate into x and y. Let's use (30,29)
3.) 29 = -1/2(30)+b
29 = -15 +b
44 = b
We have now found the linear relationship form for this problem: y=-1/2n +44
Ok so u multiply the numbers by 2 since 5x2 =10 so u do that to the top num and bottom so
5x2 and 4x2 and then replace the4/5 with the answers you get
x=11
x is equal to 11 because you subtract 4x from both sides and then add 8 to both sides where you are left with 2x=22. After dividing by 2, you get x=11
Let us say that:
K = age of Kristen
B = age of Ben
From the problem, we make the equations:
eqtn 1: K + B = 32
eqtn 2: (K – 4) = 2 (B – 4)
Simplifying eqtn 2:
K – 4 = 2 B – 8
K = 2 B – 4
Plugging in this to eqtn 2:
(2 B – 4) + B = 32
3 B – 4 = 32
3 B = 36
B = 12
From eqtn 2:
K = 2 B – 4 = 2 (12) – 4 = 20
So Kristen is 20 while Ben is 12.
