KEY

3. As part of an experiment, Kyle lights two wax candles at the same time. The graphs show theheights, in inches, of the candles x seconds after Kyle lit the candles. Candle 1 began at 4 inches, andCandle 2 began at 6 inches. Which of the following statements are supported from the picture below?Select all that apply.

·y

8 +--,���--,-...,.--.,.--,-� Q Candle I was taller than Candle 2 ctf.� � IIVltWk� - 6 -k/!!��7"4-+--+-+-+-i @ When the candles were at the same height they were 2 inches C: e

l: 4 --'"-�-+----+--r-+--1 Cl Gi ::c

2 -r-,--+--+-"�--t--;--r---1

4 8 12 16 20

Time (min)

4. Consider the system of equations

tall c. It took Candle 2 longer to bum.d. The Candles have the same slope.e. The Candles have the same y interceptf. After 12 minutes Candle I was burnt out

l y= !x-35x + :y = 12 'f cc -{ J( t- 3

Graph the system of equations and then label the coordinates of a point at any solution(s) of the system.

( 4, -2-)

5. Joliet Cinema Movie Theater was having a special for the movie tickets for all Joliet residents. Thenumber of adult tickets they sold was 75 less than twice the number of student tickets sold. How manyof each type was sold if there was a total of 549 total tickets sold.

o_ = 2.s...,. 75

a +- 5 -=-- 5'-1'1

S. A line passes through the point (4, 2) and has a slope of 3. Use this information to write a line inpoint slope form, slope intercept form, and standard form .

. /1 -2== s {x-tf) r/ pof t'\ }-- - SI ope.

- d �--/0 -3,l+J � -10

��:�

6. Malik runs on the treadmill. During his run, he increases his speed so his pulse increases about-,. IDbeats every minute (bpm) The table represent his heart rate, y, in beats per minute, as a function ofthe number of minutes, x. Use the table to write an equation to represent this situation.

X f(x) (min) (bpm)

0

1

2

3

4

5

6

60

70

80

90

100

110

120

7. An automobile manufacturer is testing a new vehicle brake system. With the car going at a steadyspeed of 70 miles per hour, the driver applies the brakes and decelerates at a constant rate so that every second, the car's speed decrease by IO feet per second. What is the range of this function, and what does it represent?

60

speed in mph 4o

20

/(x)

2 4 6 8

time in seconds

The range is 0<y<70

It represents the speed of the car which started

at 70mph and decreased to a complete stop.