Unit 6 Mid Unit Review

Here is a pattern of squares. A represents the number of small squares in the pattern as a function of x, the step number. Which expression could define A?

A company has developed a product. After completing cost analysis and the demand forecasts, the company has determined the profit function for the new product where g is the number of products sold. What is the domain of the profit function? (Integer - whole number, rational number - includes fractions/decimals)

• all integers greater than or equal to 0

• all rational numbers greater than or equal to 0

• all integers

• all rational numbers

Edgar is constructing a rectangular play area against an exterior wall of his house for his guinea pig. He uses 60 feet of fencing material to enclose 3 sides of the play area. Write an equation to represent l, the length of the play area in feet, as a function of w, the width in feet. (Perimeter=add up all the sides)

Edgar is constructing a rectangular play area against an exterior wall of his house for his hamster. He uses 60 feet of fencing material to enclose 3 sides of the play area. Write an equation to represent A, the area in square feet, as a function of w, the width in feet

Emmy is comparing two functions to find out which one has greater output values as x gets very large. She notices that f(1)=6 and f(2)=24. However, g(1)=3 and g(2)=9. She concludes that as x continues to grow, the values of f will be greater than the values of g . Explain why Emmy's conclusion is incorrect.

• She is correct, since f(1) and f(2) are greater than g(1) and g(2), f(x) will have greater values.

• She needs to choose a larger x value. Since g(x) is exponential is will eventually overtake f(x).

Suppose we are selling raffle tickets and deciding how much to charge for each ticket. Let’s say that with a price of x dollars, it is possible to sell 600 - 75x tickets. A function that models the revenue r collected is r(x) = x(600 - 75x). What do the x-intercepts means in this situation?

• It means the most revenue that can be earned

• It means when you earn no revenue.