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

Explanation:

Step1: Substitute x value

Substitute $x = 10$ into $f(x)=10(0.98)^x$. So we get $f(10)=10(0.98)^{10}$.

Step2: Calculate $(0.98)^{10}$

Using a calculator, $(0.98)^{10}\approx0.8170728$.

Step3: Calculate $f(10)$

Multiply the result by 10: $f(10)=10\times0.8170728 = 8.170728$.

Step4: Round to nearest tenth

Rounding $8.170728$ to the nearest tenth gives $8.2$.

Answer:

8.2 units