Question

Please help me with this ​

Answer 1

For the question on the right, I assume b is the exponential factor, or growth factor.

Explanation:

Linear:

`Y=aX + b\\(X, Y) = (0, 15) => b = 15\\(X,Y) = (1, 12) => a = -3\\Y = -3X + 15`

You can find the equation by using two points and the equation for a line.

Exponential:

`Y = a^(bX+c)\\(X, Y) = (0, 81) => a^(c) = 81 => a^(c) = 3^(4) => a=3, c=4\\(X, Y) = (1, 27) => a^(b+c) = 27 => a^(b)a^(c) = 27 => a^(b) = (27)/(81) = (1)/(3) => b=-1\\Y = 3^(-X+4)`