Question

Help me on this please

Answer 1

y = - 50 (
`(1)/(5)`)^x

Explanation:

The form of the exponential equation is

y = a
`b^(x)`

Find a and b using points from the table

using (0, - 50) and substituting into the equation

- 50 = a
`b^(0)` = a ⇒ a = - 50

Using (1, - 10) and substituting into the equation

- 10 = - 50
`b^(1)` ⇒ b =
`(-10)/(-50)` =
`(1)/(5)`

y = - 50(
`(1)/(5)`)^x ← exponential equation