Question

Marsha is making plans for her daughter’s quinceañera, celebrating her fifteenth birthday. Marsha has accepted a bid by Fancy Flowers to supply centerpieces for the tables at the reception. The bid from Fancy Flowers is shown. Fancy flowers; bid for quinceanera centerpieces; guest table lily arrangements, 175 dollars each; family table rose arrangements, 250 dollars each; order must be placed 1 week prior to event; Marsha has budgeted no more than $3,000 on centerpieces for the tables at the reception. Which inequality represents all possible combinations of x, the number of Guest Table Lily Arrangements, and y, the number of Family Table Rose Arrangements, that Marsha can buy for no more than $3,000?

Answer 1

To determine the inequality that represents all possible combinations of x (number of Guest Table Lily Arrangements) and y (number of Family Table Rose Arrangements) that Marsha can buy for no more than $3,000, let's break down the information given in the bid:

- The cost of each Guest Table Lily Arrangement is $175.

- The cost of each Family Table Rose Arrangement is $250.

To find the total cost of the centerpieces, we can use the following equation:

Total Cost = (Cost per Guest Table Lily Arrangement * Number of Guest Table Lily Arrangements) + (Cost per Family Table Rose Arrangement * Number of Family Table Rose Arrangements)

Since Marsha has budgeted no more than $3,000 for the centerpieces, we can write the inequality:

175x + 250y ≤ 3000

This inequality represents all possible combinations of x and y that Marsha can buy for no more than $3,000. In other words, any values of x and y that satisfy this inequality will ensure that Marsha stays within her budget.