Question

Suppose that the half-life of a substance is 250 years. If there were initially 100g of the substance.
a. give an exponential model for this situation
b. how much will remain after 500 years? ​

Answer 1

Answer:

a. y=100(1/2)ᵗ/²⁵⁰

b. 25g

Step-by-step explanation:

b. y=100(1/2)ᵗ/²⁵⁰

= 100(1/2)⁵⁰⁰/²⁵⁰

=100(1/2)²

=100(0.25)

=25g (the amount that will remain after 500 years)

edit:

at t=0 amount of substance:100g

at t=250 amount of substance:50g

at t=500 amount of substance: 25g