Question

At carrie's catering, the prices to serve dinner for x guests are as follows: $30 per person, 0 ≤ x ≤ 20, $25 per person, 21 ≤ x ≤ 40, $20 per person, 40 ≤ x how much more will it cost to cater for 50 people than for 30?

A. $500
B. $20
C. $250
D. $100

Answer 1

It costs $250 more to cater for 50 people than for 30 at Carrie's Catering due to their tiered pricing. The correct option is C. $250.

Step-by-step explanation:

The student's question pertains to calculating how much more it would cost to cater for 50 people compared to 30 people, given a tiered pricing structure. To solve this, we must evaluate the total cost for each scenario using the provided price per person for each range of guests.

For 30 guests, the price per person falls in the second tier, which is $25 per person:

• 30 guests × $25 per person = $750

For 50 guests, since the price per person for above 40 guests is $20, the calculation is:

• 50 guests × $20 per person = $1,000

Now, we subtract the total cost for 30 guests from the total cost for 50 guests:

• $1,000 - $750 = $250

Thus, it costs $250 more to cater for 50 people than for 30 people. The correct option in the final answer is C. $250.