Question

The relationship between x and y is represented by: x + 1 X y m 1 y Determine the values of m, n and p in the following table: 2 р = 1 4 3 n 26 100 51​

Answer 1

To determine the values of m, n, and p in the table, we can use the given relationship between x and y:

x + 1 = m * y + n

We can substitute the values from the table into this equation to find the values of m, n, and p:

For the first row:

2 + 1 = m * 4 + n

3 = 4m + n

For the second row:

3 + 1 = m * 26 + n

4 = 26m + n

For the third row:

4 + 1 = m * 100 + n

5 = 100m + n

Now, we have a system of three equations with three unknowns (m, n, and p):

3 = 4m + n -- (Equation 1)

4 = 26m + n -- (Equation 2)

5 = 100m + n -- (Equation 3)

By solving this system of equations, we can find the values of m, n, and p.