Question

The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they

are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in
the price, the number of hot dogs sold per game decreases by 8.
The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression
-8x²+54x + 140, where x is the number of $1 increases in price.
What is the constant term in the polynomial expression, and what does it represent?

Answer 1

The constant term in the polynomial expression \(-8x^2 + 54x + 140\) is 140.

In the given expression, \(x\) represents the number of $1 increases in price. The constant term (140 in this case) represents the revenue earned from selling hot dogs when there are no increases in price (\(x = 0\)). In other words, when the price of hot dogs is $2, the concession stand earns $140 in revenue, selling 70 hot dogs at $2 each.