Question

Write an exponential function y = ab^x for a graph that includes (2, 24) and (3, 48).

Answer 1

Answer:

A

Step-by-step explanation:

Substitute the x and y values from the given points into the equation and solve for a and b

Using (2, 24), then

24 = ab² → (1)

Using (3, 48), then

48 = ab³ → (2)

Dividing (2) by (1)

$\frac{ab^3}{ab^2}$= $\frac{48}{24}$, hence b = 2

Substitute b = 2 into (1)

24 = a × 2² = 4a ( divide both sides by 4 )

a = 6

Hence equation is y = 6$(2)^{x}$ → A