Subtract 2x from both sides.
3y = - 2x - 12
Divide every term by 3 to get the y-variable by itself.
y = - 2/3x - 4
Since the equation is not in slope-intercept form (y = mx + b), your y-intercept is just the number in the b slot. Y-intercept is - 4 or (0, - 4).
Now to find your x-intercept, plug in 0 where the y-variable is and solve for x.
0 = - 2/3x - 4
4 = - 2/3x
Multiply both sides by - 3/2 to isolate the variable.
4(- 3/2) = x
- 12/2 = x
- 6 = x.
Your x-intercept is - 6 or (- 6, 0).
Mark and Robyn used based-ten blocks to show that 200 is 100 times as much as 2.
Marks model shows 20 instead of 2. His model shows 200 is 10 times as much as 20. It does not make any sense.
Robyn model shows 2. His model shows 200 is 100 times as much as 2.
because 100 times 2 = 1=200
So Robyn model makes more sense.
Answer: 2 cups
Step-by-step explanation: Olivia spends 4$ and nothing more. 1$ is her profit that can continue to gain and can be represented as 1x or x. x-4 is the equation to represent her profit. Nathan spends 5$ and 0.50$ is his profit which can be shown as 0.5x. 0.5x-5 is the equation to represent his profit.
Set those two equations equal to each other.
Isolate x.
Solve for x.
Since x represents the amount of cups sold, you cannot have a negative amount of cups sold. Therefore, Olivia and Nathan must sell 2 cups to make the same profit.
This data set has no outliers, because all of the numbers are close together.