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Polynomial Functions Word Problems
- A company produces a product (#687)
A company produces a product for $9.45 per unit, plus a fixed cost of $5200. The company sells the product for $15.80 per unit.
a) determine a function, c(x), to represent the cost production x units
b) determine a function, r(x) to represent the revenue from selling x units
c) determine a fucntion to represent profit
d) caculate break even point
- A diver stands at the very end of a diving board (#431)
A diver stands at the very end of a diving board before beginning a dive. The deflecton (d) of the board at a position (s) feet from the stationary end is given by d=cs2(3L-s) for 0 is greater than or equal to s is greater than or equal to L, where L is the length of the board and c is a positive constant that depends on the weight of the diver and on the physica properties of the board. Suppose the board is 10 ft long.
a) If the deflection at the end of the board is 1 ft, find c
b) Show that the deflection is .5 foot somewhere between s=6.5 and s=6.6
- A rectangular box is (2x + 7) feet wide (#1663)
A rectangular box is (2x + 7) feet wide, (5x + 2) feet long, and (x - 4) feet ...
- A rectangular shipping container (#247)
A rectangular shipping container has a volume of 2500 cm3. The container is 4 times as wide as it is deep, and 5cm taller than it is ...
- Graphing Polynomial Functions (#6925)
When there are 22 apple trees pre acre, the average yield has been found to be 500 apples per tree. For each additional tree planted per acre, the yield per tree decreases by 15 apples per ...
- Greenshield`s Formula can be used (#1541)
Greenshield's Formula can be used to determine the amount of time a traffic light at an intersection should remain green. G = 2.1n + 3.7 G= green time in seconds n = average number of vehicles traveling in each lane per light cycle. Write a simplified expression to represent the average green light time per vehicle
- polynomial functions (#115)
Four boys are playing with their marbles. Two boys have the same number of marbles and they both have 1 more marble than the 3rd boy. The 4th boy has 1 marble less than the 3rd boy. If all the number of marbles of each boy is multiplied, the product would be 18...
- Suppose you are at the gas station (#1115)
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
a) What does the number 3.03 represent?
b) Find C(2)
c) Find C(9)
d) For the average motorist, name one value for g that would be inappropriate for this functionís purpose. Explain why you chose the number you did.
e) If you were to graph C(g), what would be an appropriate domain? ...
- Three students in an outdoor pursuits program (#3196)
Three students in an outdoor pursuits program collaborated to write an adventure travel guidebook for Alberta and BC. Two local publishers are interested in marketing and publishing it and both anticipate retailing the book for $20. Publisher "A" offers a straight royalty of 10% (on the retail price) on all book sales. Publisher "B" offers an 8% royalty for any books sold up to 5000 copies and will then increase the royalty to 15% for any copies sold in excess of 5000.
a) Describe the type of function
b) Find the functions A(x) and B(x) - notice that function A(x) is apiecewise defined function.
c) Let x be the number of books sold and let A(x) give the income under plan "A" and B(x) give the income under plan "B". Graph functions on the interval 0,10000
- Together Steve and Heather`s ages (#1072)
Together Steve and Heather's ages add up to be ten. If we let "x" be Steve's ...
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