# The following is for Problems 1 amp; 2. The value of a condo bought in 2000 continues to increase as time passes.

The following is for Problems 1 & 2.

The value of a condo bought in 2000 continues to increase as time passes. Seven years

after the condo was bought, it is worth \$210,000; 12 years after it was bought, it is worth

\$270,000.

Problem 1: Assuming that this relationship between the number of years past 2000 and

the value of the condo is linear, equation describing this relationship.

Problem 2: Use this equation to estimate the value of the condo in 2018.

Problem 5: Simplify the expression:

Problem 7: Problem 7: Jules can pay his housekeeper \$15 per week to do his laundry, or he can have the laundromat to do it at a cost of 50 cents per pound for the first 10 pounds and 40 cents for each additional pound. Find the minimum weight at which it is more economical to use the housekeeper than the laundromat.

Problem 9: In a competition, Jules must average at least a score of 9.65 to win a medal. Seven of the eight judges have reported scores of 9.5, 9.7, 9.9, 9.7, 9.7, 9.6, and 9.5. Find the minimum score that Jules must receive from the last judge to win a medal.

Problem 11: Find four consecutive integers such that twice the first subtracted from the sum of the other three integers is 16.

Problem 13: A principal of \$3000 is invested in an account paying an annual percentage rate of 3%. Find the amount in the account after 7 years if the amount is compounded weekly.

Problem 16: The first line has the equation 2x – 5y = 8 and the second line passes through the points (1,4) and (-1,-1). Determine whether the two lines are parallel, perpendicular or neither.

Problem 17: The weight M of an object on Mars varies directly as it weight E on Earth. A person who weighs 95 lb on Earth weighs 38 lb on Mars. How much would a 75-lb person on Mars weigh on Earth?

Problem 19: Find the equation of the line perpendicular to x = 5 and through (3,-2).

Problem 20: Jules’ Custom Shirt, Inc. experienced a fixed cost of \$750 and variable costs of \$ 3.25 a shirt. Write an equation that can be used to determine the total costs encountered by Jules’ Custom Shirt, Inc. when x shirts are produced. Then determine the total cost of producing 110 shirts.

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