Answer:
y = - 50 ([tex]\frac{1}{5}[/tex])^x
Step-by-step explanation:
The form of the exponential equation is
y = a [tex]b^{x}[/tex]
Find a and b using points from the table
using (0, - 50) and substituting into the equation
- 50 = a[tex]b^{0}[/tex] = a ⇒ a = - 50
Using (1, - 10) and substituting into the equation
- 10 = - 50 [tex]b^{1}[/tex] ⇒ b = [tex]\frac{-10}{-50}[/tex] = [tex]\frac{1}{5}[/tex]
y = - 50([tex]\frac{1}{5}[/tex])^x ← exponential equation
