Look at the table of values below. Х
у
1.
3
2
7
3
11
Which equation is represented by the table?
O A. y = 2x + 1
OB. y = 3x + 2
O C. y = 4x - 1
OD. y = 5x - 3

Explanation:

Each time x goes up by 1, the y value goes up by 4. The slope must be 4/1 = 4.

You can use the slope formula, picking any two points from the table, to get the same result. Let's say we used the first two rows

m = (y2 - y1)/(x2 - x1)

m = (7-3)/(2-1)

m = 4/1

m = 4

So the answer must be y = 4x-1 as its the only equation with a slope of 4.

To find the y intercept, we plug m = 4 and (x,y) = (1,3) into y = mx+b to solve for b. You can use any (x,y) pair from the table. I picked the first row

y = mx+b

3 = 4(1)+b

3 = 4+b

3-4 = b

-1 = b

b = -1

Since m = 4 and b = -1, we go from y = mx+b to y = 4x+(-1) or y = 4x-1

nswer: a   y-axis

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)