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Unformatted text preview: Test 1 study guide (Show all your work) Math 1101 No.: Name: i). Consider the following table. 5 7O 73 66 66 64
t 149 175 146 126 138
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ii). The following table gives values for a function f(x).
x 6 4 5 7 8
f(x) 3 7 l 1 5 2 a) For what value(s) of x does f(x)=7 ? Answer: x: in? b) f<7>= iii) Determine the domain of the function f (x) = x/12  3x and write your answer in interval notation. We '° a: I: M ~53 5;“
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3x12 iv) Determine the domain of the function y = 7 + and write your answer in interval notation. (
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i 2. Suppose the revenue for the manufacture of golf balls is given by the function R(x)=:1.79x, where X is the number of golf balls sold. a). What is R(3000)? Interpret this result in words. 5e “’5 if? vi ,;;: y, _ were re: Q T" b). What is the revenue from the sale of 2000 balls? 9 c) What is the slope of the revenue function? "3”‘5’3
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:3 f e 3. The number of welfare cases during 1997—2008 in a city is given by the model
y = ~98x2 ~—105x + 22009, where X is the number of years after 1995.
a) What is the value of x that correspond to the years 1998 and 2005? b) Find the value of y when x=9. Explain what this means he egga’éiig} :2: ﬁg g ﬁfe“5‘9?” c) How many welfare cases were there in 2001, according to this model? g :r: A :1“ whey“;
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y = 8 — 4x.
Write your answer in slopeinterceprfarm. :SZeriééi‘} “ﬁg
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6. Find the equation for the line that contains the point (4,10) and is perpendicular to the
line y :8+2x.
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Wm afvﬁgqla 3" SEW“ 2 : Wawmw 7. A business used straightline depreciation to determ'me the value V of a piece of machinery over 10year period. Suppose the original value (when t=0) is equal to $37,000 and its
value is reduced by $3700 each year. a) Write the linear equation that models the value v of this machinery at the end of year t. (Write your answer in slopeintercept form, v=mt+b, in terms of the machinery‘s value, v
and years since purchase, t) b) Find the machinery's worth 5 years after being purchased. 8. Determine whether the following data is linear. If it is linear, find the function and write your
answer in y = b + mx form. If the data is not linear, write NOT Linear. x y
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0 —6 “3M 9 W 5 i ” 9. A manufacturer of automobile air conditioners has total revenue given by R: 125.50);
and total cost given by C=49.30x+9067.80, where x is the number of units produced and sold.
Find the number of units needed for the manufacturer to break even. N m M 3 .r A a.
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10. A certain product has supply and demand functions given by p=60q+100
and p=l l lOO~50q, respectively. MM W a) What price gives market equilibrium, and how many units are demanded and supplied
at this price? ll. A retail chain will buy 400 cordless phones if the price is $50 each and 200 if the price is $60 each. A wholesaler will supply 950 phones at $50 each and 1650 at $70 each. Assuming that the supply and demand functions are linear, find the market equilibrium point and
explain what it means. 3: ” 3 {f9 w m“ '0 a “a ‘ E f; g? f (2 e; g f3. v "}} i? “if g“ r“;
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a c 12. Jason invested a total of $35000 into two accounts, one yielding 4% annual interest and the
other yielding 10% annual interest (a more risky investment). If he received a total of
$2510 interest at the end of the year, how much did he invest in each account? a? fags/f
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 Fall '08
 HARDEN
 Math, Supply And Demand, following table

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