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.

Answer 1

The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Explanation:

To find: What is the constant term in the polynomial expression, and what does it represent?

The given expression is
`-8x^2 + 54x + 140`.

To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.

=
`-8(0)^2 + 54(0) + 140`

=
`140`

The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.

Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.