Lesson 7.3: Units 5 and 6 Review Workbook 73 Workbook Explore Your Understanding Assignment 7.3 2. This assignment includes 17 marks. 1 1. Franchise owners of Stu-Gro Inc. earn money cutting grass and cleaning gardens during the summer. The amount they earn from cutting grass can be represented by the function (n) = 50n - 200, where C(n) is the earnings, in dollars, and n is the number of lawns cut. Similarly, G(n) = 30n - 75 represents their earnings from cleaning gardens. 1 a. Determine a new function, T(n), that represents their total earnings if all customers have their grass cut and their garden cleaned. b. State the domain and range of T(n ) . Justify the answer using the given context. 1 c. Determine the number of yards being maintained (lawns cut and gardens cleaned) if a franchise owner earns $2 525.Workbook 7.3 Workbook 7.3 Consider the two functions /(x) = 2x + 1 and g(x) = 4x - 1. Lesson 7.3: Units 5 and 6 Review 2 . a. Determine ( )(x). Simplify if possible. 1 gardens during b. Sketch the graph of ( )(x ). d by the function mber of lawns dens. ll customers ntext. ed) if a c. Determine the domain and range of ($ ) (x). ADLC Mathematics 30-1wo Lesson 7.3: Units 5 and 6 Review Workbook 73 3. A store's employees receive a 25% discount on all purchases. During a promotion, all items in the store were reduced by $10. Let x be the original price of an item. 1 Determine a function, E(x), that represents the purchase price when only the employee discount is applied. 1 b. Determine a function, C(x), that represents the purchase price when only the promotional discount is applied. 1 Determine E(C(x)) and C(E(x)). d. Explain what each function in c. represents. Which is the better deal for an employee? 4. There are 6 females and 4 males running for Chair, Treasurer, and Dance Coordinator of the Grad Committee 1 a. Determine the total number of ways the three positions can be filled. (1) b. If the committee must include at least one male and one female, in how many ways can the three positions be filled? 5. There are 6 females and 4 males from which a committee of three is to be chosen. 1 a. Determine the total number of ways the three positions can be filled. (1) b. If it is decided the committee cannot be made of only males or only females, determine the number of ways the three positions can be filled.Workbook 7.3 Lesson 7.3: Units 5 and 6 Review 6. Consider the binomial power (+ x2 ). a. Determine the number of terms in the expansion. (1 b. If the terms are written in ascending order by degree of x, determine the middle term of (1) the expansion. Show the term in both unsimplified and simplified form. c. Will the expansion contain a constant term? Explain