Question

Question 2 An exponential model y = a.6 passes through the points (0,9) and (3,243). What are the values of a and b?​

Answer 1

Answer:

a = 9, b = 3

Step-by-step explanation:

The exponential function is

y = a $b^{x}$

Find a and b by using the points it passes through

Using (0, 9 ) then

9 = a $b^{0}$ ( $b^{0}$ = 1 )

a = 9

y = 9 $b^{x}$

Using (3, 243 ) then

243 = 9b³ ( divide both sides by 9 )

27 = b³ ( take the cube root of both sides )

b = $\sqrt[3]{27}$ = 3

y = 9$(3)^{x}$ ← exponential equation