# Math - graphing

posted by .

1. a census was taken from 2012 to 2020. the data collected is given in the following table. 2012-2020
L1 l2
0 6000
1 6300
2 6615
3 7012
4 7362
5 7878
6 8429
7 9272
8 10199

a) what is the exponentail equation for the data (is it P=pe(rt)

B) Using your calculator determine the predidcted annual population to the nearest whole number in the year 2030.

2. A student fires a model rocket into the air. The rocket reaches a maximum height of 24.8 meters and lands 55 meters from the student. (assume parabola)
a) list thress points on the trajectory
b) determine the regression equation that best fits the trajectory using your graphing calculator.

I have spent the last two hours on this please help me walk through this as i really just want to know how to do this

• Math - graphing -

Yes, the general equation is P=pe^(rt), or P=p*k^t

If that's the equation, then the terms form a geometric sequence, since each is k times the one before. Let's examine the ratios:

6300/6000 = 1.05
6615/6300 = 1.05
...

Looks like P = 6000 * 1.05^t

If ou want it in terms of e^x, then since 1.05 = e^(ln 1.05)

P = 6000 * e^(ln 1.05 * t) = 6000*e^(.049t)

where t is years since 2012

• Math - graphing -

so i came up with 14440 people rounded to the nearest whole number.
is there a way to check the formula by using the previous information?

## Similar Questions

1. ### ALGEBRA

i AM HAVING TROUBLE GRAPHING SOLVING THE FOLLOING BY GRAPHING. cAN SOMEONE HELP PLEASE. 2X=Y=1 2X-Y=5 i do know that the lines do not intersect what do I do with the problem
2. ### pre-calculus

In the following exercise, find the smallest interval for theta [from this point on i will denote theta as '*' for ease of typing] starting with * min= 0 so that your graphing utility graphs the given polar equation exactly once without …
3. ### math (graphing)

I need to graph "y = -2x+5" and "y = 4/5x-3"... I don't think it's possible to help graphing on this site.. so can you please tell me any other sites where it would show how to graph those equations?
4. ### Algebra 1

Hello. I am having a bit of trouble understanding the following "Solve by Graphing. 3x + y = 5 -2x + 3y = 4" I know you can't see the graphing on this site, but I would really appreciate it if someone points me in the right direction …
5. ### Chemistry

The following data is collected for the decomposition of methy isonitrile at various tempertures: Temp.(C) k(/s) lnk 1/T 290--- 2.52*10^-5 ?
6. ### Chemistry

The following data is collected for the decomposition of methy isonitrile at various tempertures: Temp.(C)---{k(/s)} --- lnk---1/T 290--- {2.52*10^-5}--- ?
7. ### Chemistry

The following data is collected for the decomposition of methy isonitrile at various tempertures: Temp.(C)---{k(/s)} --- lnk---1/T 290--- {2.52*10^-5}--- ?
8. ### graphing calculator

anybody have a graphing calculator on them?
9. ### Trigonometry

I'm having a lot of trouble with graphing trig functions. Can anyone tell me how to graph this equation on a graphing calculator?
10. ### Algebra

In the year 2012, the population of India was about 1.22 billion. The exponential function P(t)=1.22(1.021)^t is used to calculate the India's population t years from the year 2012. Estimate the population t year of India in the 2020. …

More Similar Questions