Question

Write an exponential equation (y = ab^x) containing the points (1, 12) and (4, 768).

Answer 1

Answer:
`y=3(4)^x`

Explanation:

Substituting the coordinates of the points into the equation,

`12=ab\\\\768=ab^4\\\\\implies (768)/(12)=b^3 \implies b=4\\\\\therefore 12=4b \implies a=3\\\\\therefore y=3(4)^x`