Evaluating a Step Function In Exercises 27-30, evaluate the function for the given values.
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Chapter 2 Solutions
College Algebra
- High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.arrow_forwardThe daily cost to a printer is modeled by the function C(x) = 4x + 1400 where C(x) is the total daily cost and is the number of copies printed. Find C(7000), and interpret its meaning. C(7000) | Enter an integer or decimal number [more..] This value represents O The product of the daily cost and the number of copies O The number of copies manufactured when the daily cost is 7000 O The daily cost when 7000 copies are printed Check Answer masa Σarrow_forwardShow workarrow_forward
- A school club bought 4 cases of soda to sell at the school football game. Each case of soda has 24 cans. The club paid a total of $24 for the cases of soda. The cans will be sold for $0.75 each. The amount of profit the club makes is a function of the number of cans, c, the club sells. Which is the most appropriate domain for the function? A the set of all integer values such that 0 sc< 24 B. the set of all integer values such that 0 < c< 48 c. the set of all integer values such that 0 < c < 72 D. the set of all integer values such that 0arrow_forwardLet A= {a,b,c,d,q,z} and B= {1,2,…,10} and define the function (D) how many functions are there from A to B? Briefly explain (E) how many one to one functions are there from A to B? Briefly explainarrow_forwardShow workarrow_forwardShow workarrow_forwardIn 2010, an investor put money into a fund. The graph below shows the value v = v(d) of the investment, in dollars, as a function of the date d. v(d) Investment value $305,000 $255,000- $205,000+ $155,000+ $105,000 $55,000- $5,000 2010 2020 2030 2040 2050 2060 d = Date Express the original investment using functional notation. 2010 ) Give the value of the above term. $ (b) Is the graph concave up or concave down? concave up concave down Explain what this means about the growth in value of the account. This means that the investment is increasing (c) In what year will the value of the investment reach $105,000? 2050 (d) What is the average yearly increase from 2050 to 2060? $ per year at an increasing ✓ Explain your reasoning. (e) Which is larger, the average yearly increase from 2050 to 2060 or the average yearly increase from 2010 to 2020? 2010 to 2020 2050 to 2060 The average yearly increase from 2010 to 2020 is $ rate. C. The average yearly increase from 2050 to 2060 is $arrow_forwardarrow_back_iosarrow_forward_ios
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