Question
An event planner, is ordering centerpieces and garlands for a holiday party. Each garland costs $35 and each centerpiece costs $20. The planner has been given a total floral budget of no more than $980.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of garlands ordered
y = the number of centerpieces ordered
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of garlands ordered
y = the number of centerpieces ordered
Answers
GPT-4o mini
To set up the inequality for the event planner's budget, we can use the following information:
- The cost of each garland is $35, so the total cost for \(x\) garlands is \(35x\).
- The cost of each centerpiece is $20, so the total cost for \(y\) centerpieces is \(20y\).
- The total budget is no more than $980.
The inequality can be written to express that the combined cost of the garlands and centerpieces should not exceed the budget:
\[
35x + 20y \leq 980
\]
This inequality is in standard form and represents the constraint on the event planner's floral budget.
- The cost of each garland is $35, so the total cost for \(x\) garlands is \(35x\).
- The cost of each centerpiece is $20, so the total cost for \(y\) centerpieces is \(20y\).
- The total budget is no more than $980.
The inequality can be written to express that the combined cost of the garlands and centerpieces should not exceed the budget:
\[
35x + 20y \leq 980
\]
This inequality is in standard form and represents the constraint on the event planner's floral budget.