Question

Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x) = 10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container. Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?

Answer 1

Rounded to the nearest tenth would remain is 8.2 units is the answer. Just took the test.

Answer 2

Answer: There is approximately 8.2 amount of radioactive material that will remain after 10 hours.

Explanation:

Since we have given that

`f(x)=10(0.98)^x`

where, f(x) represents the amount of radioactive material that will remain after x hours in the container.

Since we have given that x = 10 hours.

So, our equation becomes,

`f(10)=10* (0.98)^(10)\\\\f(10)\approx 8.17\\\\f(10)\approx 8.2`

Hence, there is approximately 8.2 amount of radioactive material that will remain after 10 hours.