You are going to order some blank recordable DVD discs. The shipping for your entire order will be $6.49, and the discs come in 100 packs which sell for $25. (a) Letting n represent the number of 100 packs purchased, write a function C(n) that represents the average cost per disc for your order. Be sure to include the shipping charge in your cost calculations. С (п) — (b) Using the function you found in part (a), write an equation to determine the minimum number of 100 packs that must be purchased in order that the average cost per disc is equal to $0.2534. (c) Determine the minimum number of 100 packs that must be purchased in order that the average cost per disc is less than $0.2534.

How do you graph a piecewise function?

Why does the domain differ for different functions?

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

Why does the horizontal line test tell us whether the graph of a function is one-to-one?

If the order is reversed when composing two functions, can the result ever be the same as the answer in the original order of the composition? If yes, give an example. If no, explain why not.

Suppose an investment of $3,800 doubles in value every decade, The function (x) = 3, 800 - 2* decades. How much is the investment worth after 2 decades? gives the value of the investment after x a $15,200 $15,200 $152,000 O d $76,000

A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) = 6250(0.931*) movies where x is the average price in dollars. (a) Write the function for the model giving revenue in dollars, where x is the average price in dollars. R(x) = dollars (b) If each movie costs the store $10.00, write the function for the model that gives profit in dollars, where x is the average price in dollars. P(x) = dollars (c) Complete the table. (Round your answers to three decimal places.) Rates of Change of Revenue and Profit Rate of change of revenue (dollars per dollar) Price $13 $14 $20 $21 $22 Rate of change of profit (dollars per dollar) (d) What does the table indicate about the rate of change in revenue and the rate of change in profit at the same price? There is a range of prices beginning near $14 for which the rate of change of revenue is ---Select--- revenue is -Select--- ✓ while the rate of change of profit is ---Select--- profit is ---Select---

Match the tiles to the correct statement. (see pictures)

The average cost to produce x video games is given by the function c=50/x+6. What is the average cost to produce 1000 games? What's the average cost for 2000 games?