Question

Karissa eats 400 bananas per day. using f(x)=400x•422, where x is the amount of time in days, and f(x) is the amount of potassium in karissa's bones in Mg. how much radiation has she built up over 14 days, if there is 0.1 mSv of radiation per 422 milligrams of potassium.

equation: f(x)=400x•422

Answer 1

Explanation:

Substituting x = 14, we have f(14) = (400)(14)(422) = 2,363,200 mg of Potassium accumulated.

This is equivalent to (2363200)(0.1/422) = 560 mSv of radiation.

Answer 2

560 mSv of radiation

Explanation:

To calculate how much radiation Karissa has built up over 14 days, we need to first calculate the amount of potassium in her bones after 14 days. We can do this using the function f(x):

`\sf f(x) = 400x \cdot 422`

where x is the amount of time in days, and f(x) is the amount of potassium in Karissa's bones in milligrams.

To calculate the amount of potassium in Karissa's bones after 14 days, we would simply substitute x = 14 into the function:

f(14) = 400 × 14 × 422

f(14) = 2363200 milligrams

Now that we know how much potassium is in Karissa's bones, we can calculate how much radiation she has built up.

We know that there is 0.1 mSv of radiation per 422 milligrams of potassium, so we can simply multiply the amount of potassium in Karissa's bones by 0.1 mSv/422 mg to calculate the amount of radiation she has built up:

`\begin{aligned} \textsf{Radiation amount }&= \sf 2363200 milligrams * 0.1 mSv/422 mg \\\\ & = \sf 560 mSv \end{aligned}`

Therefore, Karissa has built up 560 mSv of radiation over 14 days.