1.When the price of doughnuts is $0.23 Jack buys 4 doughnut(s). When the price is $0.37, Jack buys 2 doughnut(s). If Jack’s doughnut purchses are represented by a linear function, what is the intercept? Quantity of doughnuts bought is the dependent variable and price is the independent variable.

2. The price of gasoline last month was $2.41. The price of gasoline this month is $2.34. What is the percentage change in the price of gasoline? Provide your answer in percentage points.

3. Which of the following is equivalent to log((x^2)^3)?

4.You are given the following function:

y = 1×3 + 14×2 – 40x – 56

To find where y is at a maximum and/or a minimum, we take the derivative of y and set the derivative of y equal to…

5.The expression (x^3x^2)^2 simplifies to

6.Find the change/growth factor, b, of the exponential function that intersects these points:

(7, 992.99) and (9, 7132.03).

Round all calculations to at least two decimals.

b = ?

8. You are given the following information for a firm:

Demand: p=2000-2q

Cost: 1/3q^3-26.5q^2+2360q+1000

Find the quantity of output that maximizes the firms profit.

9.When the price of doughnuts is $0.22 Jack buys 5 doughnut(s). When the price is $0.43, Jack buys 1 doughnut(s). If Jack’s doughnut purchses are represented by a linear function, what is the slope? Quantity of doughnuts bought is the dependent variable and price is the independent variable.

10. Find the derivative g(x)=17(12x^4+6^3+717)^7