Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x) =

Question

3 years ago

8

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?

Mathematics

2 answers:

Misha Larkins [42] · Answer 1 · 2022-03-12T20:53:45+03:00

Misha Larkins [42]3 years ago

6 0

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

Maslowich · Answer 2 · 2022-03-12T22:13:06+03:00

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

Step-by-step 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,

$f(10)=10\times (0.98)^{10}\\\\f(10)\approx 8.17\\\\f(10)\approx 8.2$

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