Question

Pleas help me find the equation for this chart please

Answer 1

Answer: y = 1/12x

Explanation:

(24, 2)

(12, 1)

find slope (y2 - y1) / (x2 - x1)

2 - 1 / 24 - 12

1 / 12

find y intercept

y = mx + b

1 = 1/12(12) + b

1 = 1 + b

b = 0

y = 1/12x + 0

y = 1/12x

Answer 2

Answer is equation y = 1/12x

Step by step

First let’s find slope using slope formula
y2 - y1 over x2 - x1

We know the minutes are x
We know the cups of water is y

Points (12, 1) and (24, 2)

2 - 1 over 24 - 12
1 over 12 or 1/12 slope

Now we can write an equation using point slope formula. Y - y1 = m (x - x1) using any set of points, let’s use (12, 1)

y - 1 = 1/12 (x - 12)

y - 1 = 1/2x - 1

Add 1 to both sides to isolate y

y -1 + 1 = 1/12x -1 + 1

y = 1/12x

This is your answer

So your relationship between x and y is

y is equal to 1/12 of x

Let’s check our work

x = 12
1/12 x 12 = 1, so y = 1 when x = 12, this is true according to your chart

x = 24
1/12 x 24 = 2, so y = 2 when x = 24, this is true according to your chart.