Plotting Firm's Profits: Verifying the Relationship

[maali5]

Homework Statement

The table gives a firm’s monthly profits for their first few months of business. The numbers are rounded to the nearest £100.


Number of months after start up (x) 1 2 3 4 5 6
Profit for this month (£y) 500 800 1200 1900 3000 4800


The firm’s profits, £y, for the xth month after start up are modeled by

y = k x 10ax

where a and k are constants.

Plot this data on semi log paper to verify if this relationship is true.

Homework Equations

N/A

The Attempt at a Solution

That's why am asking for help. I do not know what to do.

 

[vela]

Homework Statement

The table gives a firm’s monthly profits for their first few months of business. The numbers are rounded to the nearest £100.


Number of months after start up (x) 1 2 3 4 5 6
Profit for this month (£y) 500 800 1200 1900 3000 4800


The firm’s profits, £y, for the xth month after start up are modeled by

y = k x 10ax

where a and k are constants.

It's not clear what you mean here. Did you mean $y=10akx^2$ or $y=k 10^{ax}$ or $y=k x 10^{ax}$ or something else altogether?

Plot this data on semi log paper to verify if this relationship is true.

This is a good place to start.

 

[maali5]

It's not clear what you mean here. Did you mean $y=10akx^2$ or $y=k 10^{ax}$ or $y=k x 10^{ax}$ or something else altogether?

This is a good place to start.

Sorry, I meant y=k x 10^{ax} and how should I start on drawing semi-log pap

 

[vela]

Sorry, I meant y=k x 10^{ax} and how should I start on drawing semi-log pap

Is that x supposed to be the variable x or a multiplication sign?

 

[maali5]

Is that x supposed to be the variable x or a multiplication sign?

multiplication

 

[vela]

how should I start on drawing semi-log pap

Check this out:

http://www.math.neu.edu/fries/semilog-ex-hwk.pdf

 

[maali5]

Check this out:

http://www.math.neu.edu/fries/semilog-ex-hwk.pdf

Thanks very much.


I have one more questions to ask that I'm stuck with. I'll post it later