A verbal description of a linear function f is given. Express the function f in

Question

A verbal description of a linear function f is given. Express the function f in the form f (x) = a x + b. The linear function g has rate of change - 16 and initial value 900. g (x) = A verbal description of a linear function f is given. Express the function f in the form f (x) = ax + b. The graph of the linear function k has slope - 5/6 and y - intercept - 9. k (x) = A table of values for a linear function f is given. (a) Find the rate of change of f. (b) Express f in the form f (x) = a x + b. f (x) =

Explanation / Answer

Q1.) Rate of change = -16, initial value = 900

f(x) = ax + b where a =rate of change or slope

And b = y-intercept or initial value

Then , a = -16 and b = 900

g(x) = -16x + 900

Q2.) k has slope = -5/6 , y-intercept = -9

a = slope = -5/6 , b = -9

k(x) = -5/6x -9

Q3.) f(x) is linear function , then slope remains same

So , rate of change = f'(x) = slope = (y2-y1)/(x2-x1) = (6-15)/(0-(-3)) = -9/3 = -3

Y-intercept will be f(x) at x=0 i.e 6

So, a = -3 and b =6

f(x) = -3x + 6

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