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Answer:
Step-by-step explanation:
Given data
Total units = 250
Current occupants = 223
Rent per unit = 892 slips of Gold-Pressed latinum
Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum
After increase in the rent, then the rent function becomes
Let us conside 'y' is increased in amount of rent
Then occupants left will be [223 - y]
Rent = [892 + 2y][223 - y] = R[y]
To maximize rent =
Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.
Since there are only 250 units available;
Optimal rent - 838 slips of Gold-Pressed latinum
<u>Given</u>:
The given graph passes through the points (-3,4) and (3,2)
The x - axis represents the years. The value x = 5, year 2015.
We need to determine the y - value for 2010.
<u>Slope</u>:
The slope of the line can be determined using the formula,
Substituting the points (-3,2) and (3,2), we get;
Thus, the slope of the line is
<u>y - intercept:</u>
The y - intercept in the graph is the point in the line that crosses the y - axis.
Thus, from the graph, it is obvious that the y - intercept is b = 3.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the values, we have;
Thus, the equation of the line is
<u>The y - value for 2010:</u>
Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.
Hence, the value of x for 2010 is given by
Thus, x = 0 represents the year 2010.
To determine the y - value, let us substitute x = 0 in the equation , we have;
Thus, for 2010 the value of y is 3.