# Word Problem : Graphing, Rectangles and Inequalities

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3) The following graph shows Mary's salary from the year 2004 to the year 2007. She was hired in the year 2004; therefore x = 0 represents the year 2004.

a) List the coordinates of any two points on the graph in (x, y) form.

(___, ___),(___, ___)

b) Find the slope of this line:

Answer:

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c) Find the equation of this line in slope-intercept form.

Answer:

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d) If Mary's salary trend continued, what would her salary be in the year 2014? Show how you obtained your answer using part c).

Answer:

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4) Suppose that the width of a rectangle is 2 inches shorter than the length and that the perimeter of the rectangle is 80.

a) Set up an equation for the perimeter involving only L, the length of the rectangle.

Answer:

b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.

Answer: Length ______, Width ______

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5) A tennis club offers two payment options:

Option1: $32 monthly fee plus $3/hour for court rental

Option 2: No monthly fee but $6.50/hour for court rental.

Let x = hours per month of court rental time.

a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:

Option 1: C=_________________

Option 2: C=_________________

b) How many hours would you have to rent the court so that the monthly cost of option 1, is less than option 2. Set up an inequality and show your work algebraically using the information in part a. Round to 3 decimal places if necessary.

Answer:

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