Question

Algeria has decided to take out an advertisement in the U.N. newspaper, Liberty Daily. The newspaper charges a base fee of $1200 for an ad. There is an additional fee of $325 for every inch in height. If Algeria is willing to spend any amount up to (and including) $2700, what choices does the country have for the height of the ad?

Let h = the height of the ad. Write the answer as an inequality and leave the solution as a fraction.

Answer 1

Algeria can afford an advertisement height up to 4 and 7/13 inches within their $2700 budget, considering the base fee and additional cost per inch.

Step-by-step explanation:

The question is asking to solve for the maximum height h of an advertisement that Algeria can afford within a budget of $2700, given that the base fee for the ad is $1200 and each additional inch in height costs $325.

Firstly, let's set up an inequality to find out the maximum height:

Base fee + (Cost per inch × height) ≤ Total budget

$1200 + ($325 × h) ≤ $2700

To solve for h, we subtract the base fee from the total budget:

$325 × h ≤ $2700 - $1200

$325 × h ≤ $1500

Now, we divide both sides by $325 to find h:

h ≤ $1500 / $325

h ≤ 4 ⅗ ⁄ 13 inches

So, Algeria has the choice to have an advertisement height up to 4 and 7/13 inches and still remain within the budget.