Question

Write an exponential function in the form y = ab^x that goes through points (0,10) and (2,160).

Answer 1

Answer: y= 10(4^x)

Step-by-step explanation:

First, plug in (0,10) to the equation. 10=a*(b^0), since any number to the 0th power equals 1, 10=a*1, or 10=a.

Now, plug in (2,160) to y=10*b^x, or 160=10*b^2. Dividing by 10, 16=b^2, taking the square root, 4=b.

So, 10=a and 4=b, putting those in the equation. y=10(4^x).