Question

Write an exponential function in the form y = abx that goes through points (0,16)and (2,400).​

Answer 1

Answer:

y = 16 $(5)^{x}$

Step-by-step explanation:

Use the given points to find the values of a and b

Using (0, 16), then

16 = a$b^{0}$ ( $b^{0}$ = 1 ), thus

a = 16

y = 16 $b^{x}$

Using (2, 400), then

400 = 16b² ( divide both sides by 16 )

b² = 25 ( take the square root of both sides )

b = $\sqrt{25}$ = 5

Thus

y = 16 ×  $5^{x}$ ← exponential function