The town of Pinedale, Wyoming, is experiencing a population boom. In 1990, the population was 860 and five years later it was 1210. (a) Find a linear model l(x) and an exponential model p(x) for the population of Pinedale in the year 1990+x. (b) What do these models estimate the population of Pinedale to be in the year 2000?

a)

Now we can find the intercept using the first condition:

And the model would be given by:

The initial amount is A = 860 and we have:

Now we can use the second condition:

And solving for r we got:

And the model would be:

b)

Step-by-step explanation:

Part a

For this case we have the following info given:

Where 0 represent the starting year in 1990.

And 5 years later we have 1210 people:

And we want to create a model like this:

And we can estimate the slope like this:

And replacing we got:

Now we can find the intercept using the first condition:

And the model would be given by:

And if we want an exponential model like this:

The initial amount is A = 860 and we have:

Now we can use the second condition:

And solving for r we got:

And the model would be:

Part b

For this case we want to estimate the population in the year 2000. And that represent 10 years from 1990 so then x =10 and replacing we got:

And for the exponential model we have:

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v