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Unformatted text preview: Name: Algebra 2
Chapter 3b Review Block: ’
Calculator Allowed For questions 1 — 4, use the table below which shows the amount of the US national debt per US citizen. s a s a» w v I ) gm} Year 1% M .498? M21.“ L985 1986
you be} 53? Debt per Citizen 1 $3985 $4338 $4918 $6640 l $7598 I $8774 1. Write an exponential equation that models the grewth of the debt as a ﬁmction of the number of years after 1980. r
by a 39w.qu (Ms/5)? l r = ﬂ? 7&5703/ 2. Write a linear equation that models the growth of the debt as a function of the number of years after 1980. [FL/gifémx/Hx + 3§95,/79’ r: .929? SW7??? 3. Which equation is a “better ﬁt” to the data. Explain your choice. Egg/among r is annex to / 4. Use the equation you decided to use in question 3 to predict the debt in 1995. W... r ,,,, mum”
In ms, at 2/5“ 1,. if
q: 38&5042(/_/c15jy z 27%0. 2% a“ 235/9925 5. Use the equation you decided to use in question 3 to predict the debt in 1975. ﬂ, PM :4? J
(“V775, K“? a: gnawing/V535 1 [991733517 l“ 099393 6. Use the equation you decided to use in question 3 to predict when the debt will reach $120,000 per citizen. X ,
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For questions 7  9, use the equations B = P[l + L) and B 2 Fe" .
n 7. You invested $1500 into a bank account that promises to give you 5% interest compounded monthly. How much is in your account after 2 years? W
/ OS, (2'2 19‘
B=ISZ50U+7Z Z @5711”
8. How long will it be until your money doubles?
r.» 5” i2}( (32’ L ‘ if 31' t
gawolzgxsno(l+:§; “P 3
J, t y x’x/Zt’ﬂ £4” 9. Suppose your bank decides to change to a rate of 45% interest compounded continuously. How much is in your
account after 3 years? 3'. We aéw‘m Z int/w! .. COL(Cu/la,‘(f, intersection .. Lung); yimvkvlh my mvxli’ﬂtilwwu‘rwmnmﬁuwmhilmzwan . i. A v » 10. 100 mg of Neptunium—236 decays radioactively according to the equation y =100€_0‘0308x where x is in hours. a) Rewrite the equation in the form: y : ab".
)1.
y r: [00 ( . Q '70) b) Determine how many hours it takes for the Neptunium236 to be reduced by half.
Explain how you found your answer. M Y! (/2 ~ ‘ ’ cal (0% [wk “kt/Staff‘s»! _ . , a, 0305 2‘
5!) = /00 e
M
Q: Jr j. y;
c) Write an equation in the form y z (1%)“ where h is the halflife of Neptunium—236. (ﬂ
%z.505 / s /00 (
For questions 11 — 16, use the follow' g data which shows the number of FM radio stations since 1989. (“05 2 ﬂ wwwaw Year # of FM Radio Stations
0 1% 4269 ML 1 yet) 4392 . co 7. Jam 4570 WW 21% 3 412152 4785
cf i963 4971
10m g“ i994 5109
1 5 5703 11. Write an exponential equation that models the number of FM radio stations after 1989. /
y : ﬂoaﬁ/ (Away f ; I a77X/2V53é 12. Write a linear equation that models the number of FM radio stations after 1989.
r_ 1 ._ WWW WWWWWWH V
= Q/ﬁ/WX + 7/70,ﬂ?3§ r: fie7323208? ;
, y j
i , 13. Which equation is a “better ﬁt” to the data. Explain your choice. ggﬂdﬂﬂné‘a/Q... V25 (L/mfer 16 / 14. Use the equation you decided to use in question 13 to predict the # of FM radio stations in 2010. f4 2010,”:1/ 2!
j: ﬂannel (M at) I: m, 804,, 99506 6
K’: /O, 507 i More ﬁm'lom;
15. Use the equation you decided to use in question 13 to predict the # ofFM radio stations in 1930' Cvx=~? {/35 2809‘} ﬂee/o gmewmr 16. Use the equation you decided to use in question 13 to predict when the # of FM radio stations will reach 9000. " {m gala/i t w. Calm/me Quite/{gaziww
a “L 4 51m {(2 Mfr/76774 ,7 /
:74 7302.74/ (1.0%) * gags: age/w ...
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