can you write the equation that represents the relationship between quantity and price given: X 0=0, 1=6, 2=12, 3=18, 4=24 Y 0=0 1=5 2=10 3=15 4=20

X Y

|0=0 | 0=0 |
|1=6 | 1=5 |
|2=12 | 2=10|
|3=18 | 3=15|
|4=24 | 4=20|
Here is a more formatted table.

To find the equation that represents the relationship between quantity (X) and price (Y), we can use the method of linear regression. This involves finding the equation of a line that best fits the given data points.

Let's start by plotting the given data points on a graph:

X: 0, 1, 2, 3, 4
Y: 0, 5, 10, 15, 20

Now, we can see that the X values are increasing by 1 unit each time, and the Y values are increasing by 5 units each time. This indicates a linear relationship between X and Y.

We need to find the equation of a line in the form Y = mX + b, where m is the slope of the line and b is the y-intercept. To determine these values, we can use the first and second data points (0,0) and (1,5).

Using the formula for slope (m) which is ΔY/ΔX (change in Y divided by change in X), we have:
m = (5 - 0) / (1 - 0) = 5 / 1 = 5

Now, we can substitute the value of m into the equation to find b:
0 = 5(0) + b
b = 0

Therefore, the equation that represents the relationship between quantity (X) and price (Y) is Y = 5X + 0.