6.Is the following table a linear function, an exponential function, or neither? If it is linear, write an equation of the form bmxy+=. If it is exponential, write an equation of the form xaPy0=. x y 0 1.5 1 1.545 2 1.5914 3 1.6391 4 1.6883 7.Assume a radioactive material decays at a continuous rate of 4% per hour, and a sample contains 230 grams of the material. Find the half-life of this sample.
8.Joe invests $2,500 in a savings account with an interest rate of 4.5%, compounding continuously. (a)Find an equation to represent the amount of money in Joe’s account as a function of time. (b)Find the doubling time for Joe’s account. (c)At what time will Joe’s account hold $3500? (d)Now assume Joe’s account compounds annually instead. Repeat a and c. 9. Find an equation for an exponential function between the points (1, 6) and (3, 13.5). 10. Use the table to find ))1((gf. x -1 0 1 2 f(x) 3 4 5 6 g(x) 0 1 -1 2
11. 23)(xxf=7)(-=xxgGive an equation for ))((xgf. 12.A cost function for sneakers is given by 15005.27)(+=qqC, where q is the number of pairs of sneakers the company sells. The company sells sneakers for $55. (a)Find an equation for revenue, R, as a function of q. (b)Find an equation for profit, π, as a function of q. (c)What is the break-even point? How many pairs of sneakers must the company sell to make a profit? 13. A company has fixed costs of $45,000 and variable costs of $9 per item they produce. Find an equation for the company’s total cost. 14.The demand for a product is given by 2512+-=pq. Write an equation for revenue as a function of price, p.
15.A bookstore has a linear demand function for stationery. When the price of note cards is $5, the store sells 92 packages. When the price is $8, the supplier sells 68 packages. 16. 53)(xxf=(a)Is f(x)a power function? (b) Write an equationfor a new function, g(x), which obtained by performing the following operations on f(x)in succession: 1. Stretch by a factor of 34. 2. Shift left 4 units.
You've reached the end of your free preview.
Want to read all 12 pages?