Precalculus Honors Name_______________________

4.7 Min and Max Day 2 Date_______________________

1. Two numbers have a difference of 6. Find their minimum possible product.

2. In a rectangular piece of cardboard with perimeter 20ft, three parallel and equally spaced creases are

made. The cardboard is then folded to make a rectangular box with open square ends.

-Find a function to describe this box.

-What is the domain of x?

3. A north-south bridle path intersects an east-west river at point O. At noon, a horse and rider leave O

traveling north at 12 km/h. At the same time, a boat is 25 km east of O traveling west at 16 km/h.

express the distance, d, between the horse and the boat as a function of the time, t, in hours after noon.

Precalculus Honors Name_______________________

4.7 Min and Max Day 2 Date_______________________

4. Water flows into a conical tank 100 cm wide and 250 cm deep at a rate of 40 cm³/s.

a. Find the volume V of the water in the tank as a function of the height h of the water.

b. Represent h as a function of the time t that the water has been flowing into the empty

tank.

Homework: pg 72 #7 and pg 162 #12,13,15-19