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

Given:

• P = -1200+2.5N

• P = -5000+1.6N

solve:

A.

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

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

$\sf 0.9N = -3800$

$\sf N = \frac{-3800}{0.9}$

$\sf N = -4222\frac{2}{9}$

$\sf N = -4222.222...$

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.

Answer 2

Answer:

A) $N=-\dfrac{38000}{9}$

B) approximate

Step-by-step explanation:

$P=-1200+2.5N$

$P=-5000+1.6N$

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

$\implies -1200+2.5N=-5000+1.6N\\\\\implies 0.9N=-3800\\\\\implies N=-\dfrac{38000}{9}$

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

$\implies P=-1200+2.5(-\dfrac{38000}{9})\\\\\implies P= -\dfrac{105800}{9}$

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