EXAMPLE 4: Spectrum provides the internet at Charity's apartment. Spectrum used to charge a $6 monthly fee if you rent a modem through their company. Recently, Spectrum increased the monthly
modem fee to $8 per month. Charity decides to purchase a modem so she does not have to pay the
higher rental fee anymore.
Charity searched online for a comparable modem to purchase. She found one at Target that costs
$62.99 plus 8% sales tax. She decides to purchase the modem and will no longer have to pay the
monthly modem rental fee.
How many months will it take for Charity to break-even on her purchase? Think of her 'savings' as
'revenue'
Cost equation:
Revenue equation:
Graphically:
Algebraically:
EXAMPLE 5: The drama club is selling tickets to a play for $10 each. The cost to rent the theater and
costumes is $500. In addition, the printing company charges $0.50 per ticket for printing. How many
tickets must the club sell to make a profit?
Cost equation:
Revenue equation:
Graphically:
Algebraically:

(c) compare the results of parts (a) and (b). in general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. there is no distinct pattern when each data value is multiplied by the same constant. (d) suppose you have information about average heights of a random sample of airline passengers. the mode is 65 inches, the median is 72 inches, and the mean is 65 inches. to convert the data into centimeters, multiply each data value by 2.54. what are the values of the mode, median, and mean in centimeters? (enter your answers to two decimal places.) mode cm median cm mean cm in this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. consider the following data set 7, 7, 8, 11, 15. (a) compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = (b) multiply 3 to each of the data values. compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = --