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?

0.8 units
1.3 units
8.2 units
9.8 units

8.2 units of radioactive material will remain after 10 hours

Step-by-step explanation:

Given :

To Find : , how much radioactive material will remain after 10 hours?

Solution :

Since we are given a function that represents the amount of radioactive material remaining in a medical waste container over time.

Where x denoted hours

Since we are asked to find the amount of radioactive after 10 hours .

So, put x = 10 in the given function

Thus f(10)=8.17 ≈ 8.2

Hence 8.2 units of radioactive material will remain after 10 hours

8.2  

Step-by-step explanation:

Given: Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function to represent the amount of radioactive material that will remain after x hours in the container.

Then , the amount of radioactive material will remain after 10 hours is given by :-

Hence, the amount of radioactive material will remain after 10 hours =8.2  (units)