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

Step-by-step 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

$\frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10$

So our equation is

$y = - 10x + 15$

Part B: Exponential Equation

We know that

$15 = a \times b {}^{0}$

B to the zero power is 1 so

$15 = a$

This means a =15. Now let find b.

$5 = 15 \times b {}^{1}$

$\frac{1}{3} = b$

So the equation is

$y = 15( \frac{1}{3} ) {}^{x}$