Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
=============================================================
Explanation:
To graph
, we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.
The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.
The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.
Since this system has at least one solution, we consider it a consistent system.
A.) 200+15m=395. This is because the initial price is 200, and after that she will add $15/month. The equation you chose would be exponential, meaning the rate would increase as time passed, which is not the case. Instead, the rate is constant, and the only think that changes is m, the number of months.
b.) I believe it will be easier to answer with ^this equation.
c.) The rate of change would be 15, since the rate is increasing monthly by $15.
d.) Once you solve 209+15m=495, you'll have the answer.
If we made it into a ratio of residential customers to business customers, it would be a 2:1
350/2 = 175
350 + 175 = 525
525 total customers
$2.00 cause imagine she has 6 dollar 2/3 is 4.00 so it's 2.00
One of the product rules for exponents was used.

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.