Question

Albert is organizing an end of term party. The cost of renting a hall for an evening is $100. The cost of food is $8 per person. How much will the party cost if 20 people attend? 50 people attend? Write an algebraic expression for the cost of the party if n people attend. Suppose Albert decides to hire a DJ for the party. The DJ charges $250 for the evening. What is the new cost of the party when n people attend? Suppose the cost of food increases by $2 per person. Write an expression for the total cost of the party with a DJ for n people. The new food price is in effect. How much will the party with a DJ cost for 40 people? Show your work.

Answer 1

Algebraic expression: 100+8n=x
cost if 20 people attend: 100+8*20 = 100+160
cost if 50 people attend: 100+8*50 = 100+400
New cost of the party when 'n' people attend:100+250+8n=x
Cost for party with 40 people and dj:100+250+n(8+2)=x