Question

Check some calculus work? I need help on the graphing part...

Answer 1

2. State the equation for your model and cite the reference.
Y=Ce^kt is the law of exponential growth and decay where C is the initial value, k is the constant, and if k is greater than 0 exponential growth occurs, and if k is less than 0 exponential decay occurs.
If we use 10 grams of plutonium isotope Pu-239, and want to see how long it takes for it to decay to one gram:
We can plug in 10 for C and 0 for time to find our constant.
5 = 10ek(24,100)

So our model is y = 10e-.000028761t
To determine how long it takes to get from 10 grams to 1 gram, we solve for t in 1=10e^-.000028761(t) we get t=80,059 years
@welshfella @Luigi0210

Answer 2

3. Graph the equation for the model. The graph does not have to be to scale.
4. Make a prediction using the model.
5. Find the limit of your model. How long will it take for the material to become “safe”? “Safe” means that the radiation coming from the material is no longer a danger to public health.

Answer 3

When I graph my model it is a horizontal line on the y axis at y=-1

Answer 4

you have to make a very long positive x-axis because the decay is so slow

Answer 5

make it 100,000

Answer 6

so where should i put in the 100,000 there is no x value in the model?

Answer 7

the graph will look like this

Answer 8

roughly lol!