Question

Write the equation in the form y = a • b^x given the table below.​

Answer 1

9514 1404 393

Answer:

  y = 1 · 5^x

Step-by-step explanation:

Use the given values in the given formula and solve for 'a' and 'b'.

  y = a·b^x

  5 = a·b^1 . . . . . . for (x, y) = (1, 5)

  125 = a·b^3 . . . . for (x, y) = (3, 125)

Divide the second equation by the first:

  125/5 = (a·b^3)/(a·b^1)

  25 = b^2 . . .  simplify

  5 = b . . . . . . . take the square root

Substituting into the first equation, we can find 'a':

  5 = a·5

  1 = a . . . . . . . divide by 5

Written in the given form, the equation is ...

  y = 1 · 5^x