Question

PLEASE HELP ME!!! I'M BEGGING!!!

The systems of equations models the profits of two home- based internet companies. P=-1200+2.5N
P=-5000+1.6N
The variable P represents profit in dollars, and N represents his to the company's website
A. Use the substitution method to find an exact solution.
B. Is an approximate or exact solution more meaningful in this model?

Answer 1

A)
`N=-(38000)/(9)`

B) approximate

Explanation:

`P=-1200+2.5N`

`P=-5000+1.6N`

A) Substitute
`P=-1200+2.5N` into
`P=-5000+1.6N` and solve for N:

`\implies -1200+2.5N=-5000+1.6N\\\\\implies 0.9N=-3800\\\\\implies N=-(38000)/(9)`

To find P, substitute found value of N into one of the equations and solve for P:

`\implies P=-1200+2.5(-(38000)/(9))\\\\\implies P= -(105800)/(9)`

B) An approximate solution is more meaningful as hits to a website are measured in whole numbers not rationals or decimals.

Answer 2

Given:

• P = -1200+2.5N

• P = -5000+1.6N

solve:

A.

`\sf -1200 + 2.5N = -5000+1.6N`

`\sf 2.5N - 1.6N = -5000 + 1200`

`\sf 0.9N = -3800`

`\sf N = (-3800)/(0.9)`

`\sf N = -4222(2)/(9)`

`\sf N = -4222.222...`

Find P:

`\sf P = -5000+1.6(4222.222)`

`\sf P = -11755.55...`

B.

As the number continues and is endless, it is an approximate solution.