juan analyzes the amount of radioactive material remaining in a medical waste container over time. he writes…

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?\n0.8 units\n1.3 units\n8.2 units\n9.8 units

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?\n0.8 units\n1.3 units\n8.2 units\n9.8 units

Answer

Explanation:

Step1: Substitute x value

Substitute $x = 10$ into $f(x)=10(0.98)^x$. So $f(10)=10\times(0.98)^{10}$.

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

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

Step3: Calculate $f(10)$

$f(10)=10\times0.8170728 = 8.170728$.

Step4: Round to nearest tenth

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

Answer:

8.2 units