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Mrs. Bell's class is selling Hobbs Middle Jaguar t-shirts to raise money for a trip. They typically sell 400 t-shirts a year for $10 per shirt. Mrs bell knows that for every $1 increase in price, they will sell 20 less t-shirts. What is the revenue function R(x), where x represents the $1 price increases and revenue is equal the number of t-shirts sold times the cost of each shirt

Respuesta :

Given that for every $1 increase in the price of the t-shirts, they will sell 20 less shirts. The revenue function R(x) is giiven by R(x) = (400 - 20x)(10 + x) = 4000 + 200x - 20x^2. Therefore, the revenue function representing the revenue Mrs Bell's class earns from selling Hobbs Middle Jaquar t-shirts is given by R(x) = 4000 + 200x - 20x^2 where x represent the $1 price increases and revenue is equal to the number of t-shirts sold times the cost of each shirt.
Edufirst
Answer: 4000 + 200x - 20x^2

Explanation:

1) Revenue = price * number of t-shirts sold

2) x = number of $1 price increases

3) Price = $10 + x

4) number of t-shirts sold: 400 - 20x

5) Revenue, R(x) = (10 + x) (400 - 20x)

6) Expand the parenthesis using distributive property:

R(x) = 10*400 - 10 * 20x + 400x - 20x^2

R(x) = 4000 - 200x + 400x - 20x^2

R(x) = 4000 + 200x - 20x^2

Answer: 4000 + 200x - 20x^2

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