3.Sample Questions.pdf - 1 Use the following rule to...

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1. 2. 3. 4. ID: Bus Econ 3.1.49 Use the following rule to determine the income tax for an individual where x is the person's income. Find the tax due on an income of $ . 3750 h(x) = 0.02x, if 0 ≤ x < 4000 80 + 0.03(x − 4000), if 4000 ≤ x < 9000 230 + 0.04(x − 9000), if x ≥ 9000 What is the tax due on an income of $ ? 3750 $ (Round to the nearest cent as needed.) ID: Bus Econ 3.3.25 Assume that the following has a linear cost function. Find the cost function, C(x), revenue function, R(x), and profit function, P(x), where x is the number of items produced (or sold). Fixed Cost Marginal Cost Item Sells for $200 $16 $27 What is the cost function? C(x) (Simplify your answer. Do not include the $ symbol in your answer.) = What is the revenue function? R(x) (Simplify your answer. Do not include the $ symbol in your answer.) = What is the profit function? P(x) (Simplify your answer. Do not include the $ symbol in your answer.) = ID: 3.4.19 Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. vertex ( , ); point ( , ) − 3 − 2 3 34 f(x) = ID: Bus Econ 3.3.21 A resident in a particular city pays a water bill of $ per month plus $ per 1000 gallons of water used (up to 4000 gallons). If this city has customers that use less than 4000 gallons a month, find its monthly revenue function R(x), where the total number of gallons x is measured in thousands. 3.56 1.12 693,000 R(x) = (Use integers or decimals for any numbers in the expression. Do not include the $ symbol in your answer.)
5. 6. ID: 3.2.43-GC Using a graphing calculator, find the x-intercepts of the function. f(x) = 0.1x − 0.8x − 2.5x + 20 3 2 The zeros are . (Use commas to separate answers as needed.) ID: 3.2.9 Graph the function. f(x) |x | = − 2 Choose the correct graph. A. -10 10 -10 10 x y B. -10 10 -10 10 x y C. -10 10 -10 10 x y D. -10 10 -10 10 x y
7. Recall that profit equals revenue minus cost. For the revenue and cost functions shown, answer parts (a) through (e) below. R(x) and C(x) x , with 0 x = 500x − 2x 2 = 300 + 4250 ≤ 100 (a) Find the break-even point. The break-even point(s) is(are) x . = (Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as needed.) (b) Find the x-value that makes profit a maximum. x (Type an integer or decimal rounded to one decimal place as needed.) = (c) Find the maximum profit. The maximum profit is $ . (Type an integer or decimal rounded to one decimal place as needed.) (d) For what x-values will a loss occur? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.)
8. ID: Bus Econ 3.4.63 ID: 3.1.7 Decide whether the relation defines y as a function of x.
(e) For what x-values will a profit occur? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.)

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