Project #2720 - 2/27/13 12:00pm

 

1.      An observation deck extends 310 feet out above a valley. The deck sits 260 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h = -16t square root + 260

 

            It will take ….  seconds for the object to be 4 feet above the valley floor.

 

            (Type an integer or a decimal.)

 

2.      A cannonball is fired across a field. Its height above the ground after t seconds is given by -16 square root + 72t. How long does it take for the ball to reach its maximum height of 81 feet?

 

             The ball reaches its maximum height of 81 feet after…   seconds.

 

             (Type an integer or a decimal.)

 

3.       A girl stands on the edge of her dorm roof and throws a ball into the air. The ball’s height above the ground after t seconds is given by h = -16t square root + 48t + 64. When will the ball hit the ground?

 

 

 

The ball will hit the ground after …  seconds.

 

 

 

(Type an integer or a decimal.)

 

 

 

4.      The number of users worldwide on a social networking site can be approximated by the model N = 24t square root – 366t + 400 where N is the number of users in millions and t is the number of years after 2000. Based on this model, predict where the numbers of users worldwide on a social networking site reach 1168 million.

 

 

 

The number of users worldwide on a social networking site will reach 1165 million in the year ….   .

 

 

 

5.      A councilwoman conducts a study and finds the population of her city can be estimated by the equation p = x square root – x + 2, where p is thousands of people and x is the number of years after 2000. In what year did the city have a population of 14,000?

 

 

 

The city had a population of 14,000 in the year   …..

 

 

 

6.      A person notices that the number of oil filter wrenches n that he sells at his hardware store each week is related to the price p (in dollars) by the model, n = -p square root – 4p + 417. What should the person charge for the oil wrench if he wants to sell 300 per week?

 

 

 

The person should charge…    dollars for the oil wrench.

 

7.      The manager of a 50-unit apartment complex is trying to decide what rent to charge. He knows that all units will be rented if he charges $600 per month, but for every increase of $30 over the $600, there will be a unit vacant. Find the number of occupied units if his total monthly rental income is $36,630 and the rent per unit is less than $1000.

 

 

 

The number of occupied units is    ..

 

Subject Mathematics
Due By (Pacific Time) 02/26/2013 12:00 am
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