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Unformatted text preview: bbLuTlO/US MATH 122, SECTION 021 WORKSHEET 4 Show all work for full credit.
1. Put the function P = 20006—02“ in the form P = Pout.  14 '2:  . 8W3
Ave l’rr— 07' .. Z I 7
4‘5 0.2” P Z (0 78) {‘s ’02l337’ 61 : 0.784 Fill in the blank: Annual Rate: 2 i ’ 337% Continuous Rate: 2. If a substance grows exponentially from 500 grams to 1850 grams in 24 hours, determine the doubling time of (ma )substance. Give units. odoSL/s t
K 2
 : [US 6
L22? ’ 52996 mfg Ice
5&0 599' 0. 0545f:
2"" Z ‘ 5 List
' I 2...; 1/, Z = In a
M 3'7 : n6  :aosqs LIZ ‘  “ti
ln3? : 24K ‘9 L 0,0545 5719545
3. If a substance has a half—life of 18.2 hours, how much will remain of an initial 800 gra
sample after two days? Give units. 0/ , 48 M
160532) 2 “‘15 ’ °‘“ 5
5W K326 ~(3.03&’I(HK’)
100 2739 [M K ? : 800g 0.5: 6 KZK r ‘
[4015:0161' [93 MR5 rams M5 = 23.6 .9 K: «0.0381
. A rad ioactive substance decays exponentially. If 80 grams was present in 1998 and 36
grams was present in 2005, how many grams will be present in 2020? [gl I998 lac i=0 gazwe,‘(?) ’ «(DAMN1')
Zoos t=7 875 '§§ ?'806
2020 t: 22 0,45: awn
InoHs=lne7 Mm:ij gzwmﬂ
“'5” V1 2 5. If a population grows exponentially from 800 people in 1996 to 3500 people in 2007,
what is the annual (not continuous) percentage rate of growth? 16$ MW? be i=0 is, z n 5‘, Hr
20‘” M “2755 5:2“ 1.19359: w
“ no was? 6. In 2009, a museum receives a letter from a man claiming to have an original masterpiece
painted by Picasso in 1905. If the half—life of Carbon—14 is 5730 years,
a. What percentage of the original Carbon—14 would remain if the painting were painted in 1905?
50 = 7190: H5wa 2009 ' [905 = / DH 4 Ears
70.0 % o,ao012\ (“513 D 5 e 5730K P 5 [00¢ me = Imam“ P: 9a". 750 Maggi ~+ K: “0000M 78.75029! ﬁ'
573%. If you discover that 99.7% of the original Carbon—14 remains, when was the painting
actually painted? ‘ venom/t [A 0.977: wreeetzlb T e
£997 ’ 6,5,oooml: f: 29.85—11‘164r5 ’ —0.000I21t 200‘] — $1.33? 2 I98”. M03
Ina??? ' Ina m gamma was) Wm“ m‘ 7. The maximum range of a projectile is directly proportional to the square of its velocity.
A baseball pitcher throws a ball at 80 mph with a maximum range of 416 ft. Calculate the
pitcher’s maximum range if the throws the ball at 75 mph. Give units. ,2: KVZ pmoosﬂ
All”: #8032 g 004,505) K: 00% Z= 3105.145}? 8. Determine whether each of the following is a power function. For all power functions, give the values of k and p.
a. y = 5(4333)2 b. ~2— 0 y = $76 :5(/(0X6 :2 ...L : , a: "T XV») _ 7X —80X F 2 _,/Z 0 ya 
A res , ' 7" ...
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