Ticket-price stories ask you to model revenue, the money brought in by sales. Multiply each price by its matching ticket count and add the amounts. Then compare that total with the target. The phrase at least sets a minimum that includes the target; reversing the inequality would set a maximum instead.
Hints
- Hint 1
A revenue total is money brought in from sales. Multiply the adult ticket price by the adult count, then do the same for student tickets. Should you add or subtract those amounts?
- Hint 2
The phrase at least gives a minimum that includes the exact target. Which inequality symbol includes the target and every amount above it?
Step-by-step
Build the revenue inequality
Step 1Write the total ticket revenue
No Desmos needed. You're translating the story, not solving an equation. Adult tickets bring in dollars, and student tickets bring in dollars. Both types bring in money, so add them:
Multiply each price by its ticket count, then add the amounts.
- Step 2
Set the minimum the club needs
At least $500 means that collecting exactly $500 counts, as does collecting more. Use , which means “greater than or equal to”:
That inequality represents the club's required ticket revenue. Choice D.