Final answer:
Each expression represents a different aspect: (a) is for the cost of buying 10 single tickets, (c) is the amount of discount per ticket, and (d) is the total discount for 10 group tickets. Option (b) is used to find the final cost after the discount is applied.
Step-by-step explanation:
Let's match each amount in the scenario with the expression that represents it:
- Total discount for 10 group tickets: This would be the individual ticket discount multiplied by 10. If 't' represents the cost of a single ticket, and each ticket has a 5% discount, then 5% of 't' is 0.05t. For 10 tickets, the total discount is 10 × 0.05t, which is option (d).
- Amount of discount per ticket: This represents the discount on a single ticket. The discount rate is 5% of the cost of a ticket 't', so the discount per ticket is 0.05t, which is option (c).
- Number of tickets: This is simply the quantity of tickets, which in this case is 10, but there is no option that represents just the number '10' on its own without being multiplied by something else.
- Cost of buying 10 single tickets: Without the discount, the cost of 10 single tickets at 't' dollars each would be 10 × t, which is option (a).
So, matching each amount with the expression, we get:
- Total discount for 10 group tickets is represented by (d) 10 × 0.05t.
- Amount of discount per ticket is represented by (c) 0.05t.
- Cost of buying 10 single tickets is represented by (a) 10t.
The expression (b) 10t - 10 × 0.05t represents the final cost after the discount is applied to the purchase of 10 group tickets.