Question

Denae is designing bouquets for the tables at her restaurant. She wants at least twice as many daisies as daffodils in each bouquet. Daisies are $0.50 each and daffodils are $0.75 each. Denae has a total of $50 to spend. Denae needs both daisies and daffodils in each bouquet. Let x represent the number of daisies. Let y represent the number of daffodils. Which inequalities are among the constraints for this situation? Select each correct answer. A. x≥0.5 B. y > 0 C. x≤2y D. 0.5x+0.75y≤50 E. y≤2x

Answer 1

The inequalities among the constraints for this situation are x≥0.5, y>0, x≤2y, 0.5x+0.75y≤50, and y≤2x.

The constraints for this situation are:

A. x≥0.5 - This represents that the number of daisies (x) should be greater than or equal to 0.5.

B. y > 0 - This represents that the number of daffodils (y) should be greater than 0.

C. x≤2y - This represents that the number of daisies (x) should be less than or equal to twice the number of daffodils (y).

D. 0.5x+0.75y≤50 - This represents the total cost of daisies and daffodils should be less than or equal to $50.

E. y≤2x - This represents that the number of daffodils (y) should be less than or equal to twice the number of daisies (x).