Answer:
slope is -2 and the y-intercept is 12
Step-by-step explanation:
a key thing to remember: x is always equal to 0 when finding the y-intercept.
so if you look at the table for where 0 is, you get the point (0,12) meaning the y-intercept is 12.
to find the slope use the equation: slope= change in y/change in x
you can use any two points to find this.
lets take the points of the x-intercept (6,0) and the y-intercept (0,12)
12-0/0-6
12/-6
-2 = slope
Answer:
y = 
x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k =
y = x² ← equation of proportion
Answer: 8 batches
Step-by-step explanation:
To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction
5 1/3 = 16/3
Then we can now use the proportion to solve
2/3 cups = 1 batch
16/3 cups = x (note:5 1/3=16/3)
cross multiply
2/3 × x = 16 /3
2x/ 3 = 16/3
we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2
2/3 × 3/2 x = 16/3 × 3/2
6x /6 = 48 / 6
x = 8
Therefore she made 8 batches of cookies.
+x on each side. Then -2 on each side. Then divide both sides by 6 and you have your answer
Here! :) i hope this helps bunny!
