A marketing group developing online ad space is offering two payment options: 1. $225 set up fee plus $10/inch of the ad. Option 2, No set up fee but $25/inch of the ad.
Let x=inches of the proposed ad, for example, x=2 for a column ad that is 2 inches long.

Part A, Write a mathematical model representing the total ad cost, C, in terms of x for the following.
Option 1: c=
Option 2: c=

How many inches 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.

Question

A marketing group developing online ad space is offering two payment options: 1. $225 set up fee plus $10/inch of the ad. Option 2, No set up fee but $25/inch of the ad.
Let x=inches of the proposed ad, for example, x=2 for a column ad that is 2 inches long.

Part A, Write a mathematical model representing the total ad cost, C, in terms of x for the following.
Option 1: c=
Option 2: c=

How many inches 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.

nurali · Answer

a) The models are simple equations: C = 225 + 10x for option 1 C = 25x for option 2 b) The inequality comes directly from the two equations above. We want option 1 to be cheaper than option 2, so we want 225 + 10x < 25x -15x < -225 15x > 225 x > 15 Option 1 is cheaper for a column ad that occupies more than 15".