Notes Over 1.5

Notes Over 1.5Drawing a DiagramDrawing a Diagram1. In a football game, the quarterback is 15 yards away from making a first down and is running at 264 yards per minute. After 0.03 of a minute, a linebacker who is 15 yards on the opposite side of the first down marker begins running directly towards the quarterback at 440 yards per minute. Will the linebacker be able to tackle the quarterback before he gets the first down?

1st Down5 yd10 yd15 yd 5 yd 10 yd 15 yd

264 ypm 440 ypm

Notes Over 1.5Drawing a DiagramDrawing a Diagram

1st Down5 yd10 yd15 yd 5 yd 10 yd 15 yd

264 ypm 440 ypm

r

dt

15

26405680. min

15440

0.034 0.030.064 min

Therefore the linebacker will not catch him.

Notes Over 1.5Drawing a DiagramDrawing a Diagram

60 mph

2. Two sisters who live 500 miles apart decide to meet at the halfway point for a visit. Joanne leaves at 11:00 and travels at 50 miles per hour. At noon, Sue leaves traveling 60 miles per hour. Who will reach the halfway point first, and how long will she have to wait for her sister?

500 mi

50 mph11:00 12:00

r

dt 250

505 hr00:4 r

dt 250

60 6

14 hr10:4

Joanne reaches the halfway point 10 minutes before her sister

Notes Over 1.5Guess, Check, and ReviseGuess, Check, and Revise3. A farmer has 64 yards of fencing and wants to create a rectangular enclosure for his animals. What is the enclosure with the greatest area?

wlp 22 lwA6410264 222 2210 A 22015264 172 1715A 25516264 162 1616 A 256

Notes Over 1.5Guess, Check, and ReviseGuess, Check, and Revise

hrV 2 2292

4. A cylindrical swimming pool 5 feet in depth needs approximately 2292 gallons of water to be full. To the nearest tenth, what is the radius of the pool?

527152292 r.

991452 .r715.715.

Notes Over 1.5