Question

1.A lemonade stands makes a profit of ?(?)=0.18? −44.82 dollars when selling ? units of lemonade per day.

a. At what sales level does the lemonade stand break even?

b.What sales level generates a profit of $52.38?

2. When the owner of a gas station sets the price of 1 gallon of gas to $3, he can sell approximately 15,000 gallons per day. When he sets the price at $6 per gallon, he can sell approximately 12,000 gallons. Let ?(?)denote the number of gallons of gas sold per day when the price is ? dollars.

a. Assume that ?(?) is a linear function of ?. Find a function that models the number of gallons of gas sold per day.

b.If the price of gas is set at $4.50 per gallon, how many gallons of gas can the owner of the gas station expect to sell?

3.Find the equation of the tangent line to the curve ?(?)=?2 when ?=3.5.

Answer 1