4108 QUIZ#5 Vincent has a monotonous job attaching 2 parts of a toy together which is very easy to do. His employer has noticed that the rate at which Vincent does his job varies throughout the day according to the following quadratic relationship: n = 2t2 – 24t + 120 where n is the number of attachments that he completes in a tested time period and t is the number of hours since his work shift began. a) At what time in the shift is Vincent’s job performance rate at its lowest? b) What is the minimum rate of production for a tested time period for Vincent?

A golfer strikes a golf ball so that its trajectory can be described by the following equation: How far did it go before it bounced? What was the maximum height of the golf ball?

3. Determine the measure of the bases for a trapezoid where the long base is 6 more than triple its height and the short base is 6 more than double its height given that the area of the trapezoid is 432 cm2.

FROG GRASSHOPPER RABBIT 4. A grasshopper, frog and a rabbit are all creatures that are known for their jumping abilities. The following quadratic equations expresses the height of their jumps above the ground in centimeters (y) with respect to their horizontal distance in centimeters (x) on a given occasion. From these equations, determine which creature has the longest jump? From these equations, determine which creature jumps the highest? FROG GRASSHOPPER RABBIT

5. Two contestants at a banana eating contest must eat 90 bananas as fast as possible. By eating 3 more per minute, the first contestant beats the second by 5 minutes. How long did it take the winner to eat the bananas?

6. The price of a certain number of balls is $60 6. The price of a certain number of balls is $60. If each ball cost $1 less, we would have 5 more balls for the same price. What is the price of one ball?

7. A sister is 6 years older than her brother 7. A sister is 6 years older than her brother. 8 years ago, the product of their ages was 135. How old are they now?