Question

A minor league baseball team wants to sell ad space on their outfield wall to local businesses. The team originally thinks about charging $250 per ad. However, the local businesses know that the more ads there are, the less focus each individual ad will get, so they’re not willing to pay as much per ad if they know there will be more of them. The total revenue from all the outfield banners is calculated using the expression a(250-5(a-1)). Interpret what the expression 250-5(a-1) represents, and explain your reasoning.

A) The expression 250-5(a-1) represents the cost of each additional ad.
B) The expression 250-5(a-1) represents the total revenue generated by all ads.
C) The expression 250-5(a-1) represents the price reduction for each additional ad.
D) The expression 250-5(a-1) represents the total cost of the outfield wall.

Answer 1

The expression 250-5(a-1) represents the price reduction for each additional ad. The expression breaks down as follows: The number of ads is represented by 'a'. 'a-1' represents the number of additional ads above the first one. Multiplying 'a-1' by 5 gives us the total price reduction for the additional ads. Subtracting the price reduction from $250 gives us the final price of each additional ad. For example, if there are 3 ads, the expression becomes 250-5(3-1) = 240. So, each additional ad beyond the first two would cost $240.

Step-by-step explanation:

The expression 250-5(a-1) represents the price reduction for each additional ad. The expression breaks down as follows:

• The number of ads is represented by 'a'.
• 'a-1' represents the number of additional ads above the first one.
• Multiplying 'a-1' by 5 gives us the total price reduction for the additional ads.
• Subtracting the price reduction from $250 gives us the final price of each additional ad.

For example, if there are 3 ads, the expression becomes 250-5(3-1) = 240. So, each additional ad beyond the first two would cost $240.