|
Question 288017: A marketing group developing online ad space is offering two payment options:
Option 1: $210 set up fee plus $10/inch of ad
Option 2: No set up fee plus $25/inch of the ad
Let x = inches of proposed ad, for example, x=2 for a column ad that is 2"
a) Write a mathematical model representing the total ad cost, C, in terms of x for the following
Option 1: C=__________
Option 2: C=__________
I came up with the answer Option 1 being $14.00 and Option 2 being $15.00 is that correct???
Part b) How many of ad space would need to be purchased for option 1 to be less than option 2? Set up an inequality and show your work algebraically using the information in part a. Summarize your findings in a brief sentence.
Answer by Deina(147)   (Show Source):
You can put this solution on YOUR website! You have the right(ish) answer, except you're not interpreting it correctly.
Option 1: $210 set up fee plus $10/inch(x) of ad
C = $210 + 10x
Option 2: No set up fee plus $25/inch(x) of the ad
C = 25x
To locate the crossover point, where the two equal each other, we need to calculate where:
Option 1 = Option 2, so:
210 + 10x = 25x Now subtract 10x from each side, giving:
210 = 15x
Divide each side by 15:
210/15 = 15x/15
giving us:
14 = x
I'm guessing that you got here before, but now remember that "x" is inches of ad space, so at 14 ad inches the costs equal out. Below 14 inches Option 2 is less expensive. Above 14 inches Option 1 is less expensive, and bob's your uncle!
|
|
|
| |
