PROBLEM SOLVING Plutonium-238 is a material that generates steady heat due to decay and is used in power systems for some spacecraft.The function y=a(0.5)t/x​ represents the amount y​ of a substance remaining after t​ years, where a​ is the initial amount and x​ is the length of the half-life (in years).

Plutonium- 238, Half-life is approximately 88 years.

a. A scientist is studying a 3-gram sample. Write a function that represents the amount y​ of plutonium-238 remaining after t​ years.

Question 2
b. Use the function to estimate the amount of plutonium-238 remaining after 8 years.

Question 3
c. Use the graph of the function to estimate the amount remaining after 12 years.
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