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?

0.8 units
1.3 units
8.2 units
9.8 units

Answer 1

He’s correct ^^ its 8.2 units

Answer 2

8.2 units

Explanation:

For radioactive decay, the amount should decrease over time. Given the function:

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

We substitute the time of x = 10 hours:

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

f(10) = 8.17

Round 8.17 to 8.2.

Therefore 8.2 units will remain after 10 hours.