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**Unformatted text preview: **K5346 MAT 114 Group #6
Please write your name on the back. 1) You initially invest $ 750 in a savings account the pays a yearly interest rate
of 2%.
a] Write a formula for an exponential function giving the balance in your
account, B, as a function of the time, t, since your initial investment. @2750 moa a: 1.0:;
E: :- 750woc§t 12)) Use the formula to determine when your balance will reach $800. IIIIIIIIIIIFEIIR warm
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c} Whatwil—l' Wypur balance be 1n 7 years? Cl t— Hi Ol‘ ‘j‘: 0 r5 Kﬁgﬁ 5;) 2) An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. a) Find the exponential function for I, the amount of ibuprofen in a person’s system in milligrams, in terms of t, the number of hours. 19:11:30 #2499 a: 1—— 0M: b) How much ibuprofen IS left after 6 hours? -i\. w: qOleW 3-“ 5/ Q4/m11/Iymmg c] When will there be 200 mg in a person’s system? IIIIII“"‘I£IIIIIIIIIII
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.IIIIIIIIIIIIIIIIIl-EI 3] A population grows by 4.5% each year. By what percentage does it grow
each month? HOLE) Li“) Mm®7mmth [5; g /%A 4] For the following tables one set of data' 15 linear one is exponential, and one '7
is neither.
3] Using the correct tables, Show which is which. ”-66 W
TableA N6 1’ +h€f t=# of seconds H=height in ft.
40 Table C mméﬂ‘é’f‘ a: I t=time in seconds «Ron? 01C Charge table In‘l'egggl lg O _+c2 _ 535 50 ngjg
ham-e in 1000-500: C an?
Cowsi’mxl’ Ya+6010 Civil/1969 )INGQV
date; 001er m:- 20 Imtaﬂg o 3
77505: 795% WEE 899/3
7'73? 5: 765 65: g [T 55: c: t :3 It) 03 ”3‘75 I
(mean Va 0:: 6x VEI/‘I'i‘i ,,
with 67L: IO DO '0' Q3 _0 +0] ﬂunk—=3 mug... b] Find the linear equation for the iinear table. In: 2Q b: __—500 I” P: 20 W BOO \)
\_~%_ __'Ww #f IMW_(_W_#M/M . c] Find the exponential function for the exponential data and graph both the
points and the function below. azI. 03' P: 730 M 75044 OI3 ...

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- Fall '17
- Exponential Function, Derivative, proportionality