Question

Question 1510 PointsMarc is planning a party at a party hall. The party hall offers a meal option for $50 per person and thatincludes the hall rental for free. The hall-only rental option is $1,150, but that option allows an externalcaterer to provide the meal. Marc's external caterer charges $27.50 per person. If he plans to invite 50people, which is the cheaper option?AThe party Nol's meal option costs $3,900. The hall-only rental and external caterer option costs$2,525. The hall-only rental and external caterer meal option is cheaper.BThe party hall's meal option costs $2,500. The hall-only rental and external caterer option costs$1,375. The hall-only rental and external caterer meal option is cheaper.СThe party hall's meal option costs $2,500. The hall-only rental and external caterer option costs$3,900. The party hall meal option is cheaper.DThe party hall's meal option costs $2,500. The hall-only rental and external caterer option costs$2,525. The party hall's meal option is cheaper.

Answer 1

Since the party hall offers $50 per person

Since there are 50 people, then

The party hall cost is

`\begin{gathered} H_1=50*50 \\ H_1=\text{ \$2500} \end{gathered}`

Since the hall rental offers $1150 and $27.50 per person

Since there are 50 people, then

Multiply 27.5 by 50 and add 1150 to the product to find the total cost

`\begin{gathered} H_2=27.50*50+1150 \\ H_2=1375+1150 \\ H_2=\text{ \$2525} \end{gathered}`

The correct answer is

The party hall's meal option costs $2500, the hall-only rental and external caterer option costs $2525. The party hall's meal option is cheaper

Option D