Answer the following, explain: 1. A painter’s labor charges are $50 plus $40 per

Question

Answer the following, explain:
1. A painter’s labor charges are $50 plus $40 per room to paint the interior of a house. Find the cost of painting
a. a five room house.
b. a seven room house.

2.The number in millions of Americans over the age of 65 can be approximated by the equation y=0.5x+35.3, where x is the number of years from now. Find the number of people over 65 living 5 years from now.

3.A person wishes to invest $2400.00, part at 9% and part at 6%. If the total interest desired at the end of the year is $189.00, how much should be invested at each rate?

4.At a flea market, a person purchased some VCR tapes and CDs. The CDs sold for $5.00 each, and the VCR tapes sold for $3.00 each. If the total cost of the items was $78.00 and the total number of products sold was 18, find how many of each item the person purchased.

5. If a ball is thrown vertically up from a height of 6 feet with an initial velocity of 60 feet per second, then the height of the ball t seconds after it is thrown is given by f(t)=-16t^2+60t+6. Find the maximum height that the ball will attain and find the number of seconds that will elapse from the moment the ball is thrown to the moment it hits the ground.

6. A vendor sells boxes of computer paper. The amount of revenue made per week is given by the function f(x)=12x-0.1x^2, where x is the number of boxes sold. How many boxes should be sold if the vendor is to make a maximum profit?


7. On a small 50-acre farm, a person grows beans and corn. It costs the person $40.00 to grow an acre of beans and $30.00 to grow an acre of corn. The owner has set aside $320.00 to cover the cost of growing the items. The profit for selling the beans grown on 1 acre is $65.00, and the profit for selling the corn grown on 1 acre is $40.00. How many acres of each vegetable should be grown in order to maximize the profit?

Explanation / Answer

1 a) $50 is a one off fee The cost to paint 1 room is $40 The cost to paint 5 rooms are $40 x 5 = $200 + $50 = $250 b) The cost to paint 1 room is $40 The cost to paint 7 rooms are $40 x 7 = $280 + $50 = $320 2) where x is 5 you subsitute 5 in the place of x in order to get a numerical value y=0.5x + 35.3 0.5(5) + 35.3 = 37.8

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