You can model the average national teachers’ salaries using the equation y = 9.25(1.06)n, where y is the salary in thousands of dollars and n is the number of years since 1970. What salary can a teacher expect in the year 2020?

Question

You can model the average national teachers’ salaries using the equation y = 9.25(1.06)n, where y is the salary in thousands of dollars and n is the number of years since 1970.  What salary can a teacher expect in the year 2020?

hero · Answer

Hint:

n = 2020 - 1970

anonymous · Answer

so i would plug it in like this 9.25(106)^50? 
@Hero

hero · Answer

Is this the original equation:
$y = 9.25(1.06)^n$

anonymous · Answer

yes

hero · Answer

If so, then: $y = 9.25(1.06)^{50}$ is correct

anonymous · Answer

alright thank you!

hero · Answer

Well, but something seems wrong

hero · Answer

What did you get for $y$ after calculation?

anonymous · Answer

i got 170.386427

hero · Answer

That's what I got as well. I don't think the average teacher salary is $$170,000$ per year. Teachers don't make nearly as much.

anonymous · Answer

i dont think its an actual fact though

hero · Answer

Are you sure the equation is correct to begin with? Double check all the decimal points and the numbers

hero · Answer

It doesn't have to be an actual fact, however, it should be realistic

anonymous · Answer

one of the answer choices is 170,400

hero · Answer

I see...

hero · Answer

In that case....it seems you have found the correct choice.

anonymous · Answer

sweet! thank you for your help!

hero · Answer

I think a teacher created this question. That must be what he or she wishes their salary to be.