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?

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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

Tags

CCSS.HSA.APR.C.4

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)

Tags

CCSS.HSF-BF.A.1A

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).

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Tags

CCSS.HSA.APR.A.1

Tags

CCSS.HSA.APR.A.1

Tags

CCSS.HSA.APR.C.4

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.