Question

PLEASE SOMEONE HELP ME ANSWER THIS !!!!

Write the equations of the linear and exponential functions that pass through the points (0, 15) and (1, 5)

Linear Equation, y = mx+b

Exponential Equation, y = a(b)^x

PLEASE ANSWER IT I HAVE AN IMAGE ATTACHED IF NEEDED !!!!

Answer 1

Explanation:

Part A: Linear Equation.

• One of the points is (0,15). This means 0,15 is the y intercept so b=15.

We can find the slope

`(5 - 15)/(1 - 0 ) = ( - 10)/(1) = - 10`

So our equation is

`y = - 10x + 15`

Part B: Exponential Equation

We know that

`15 = a * b {}^(0)`

B to the zero power is 1 so

`15 = a`

This means a =15. Now let find b.

`5 = 15 * b {}^(1)`

`(1)/(3) = b`

So the equation is

`y = 15( (1)/(3) ) {}^(x)`