Question

You've been hired to plan a New Year's Eve party at the Governor's Mansion. The Mansion Charges: $1, 250 plus $20 per person.

I. Write an equation that can be used to the determine the cost of the party. Define the variables.

II. What is the cost if there is 300 people attending the party?

III. Represent the previous answer in a graph. ( Count by intervals of 50)

IV. There are 750 people who attended the party. Daryl said the cost will be $16,500. Is he correct ? Explain why or why not. Prove your answer by showing your work and including detailed reasoning.

Answer 1

I. 1250 + 20x = the cost of the party, x = the number of people attending.

II. If there are 300 people attending, the cost would be $7,250.

III. (attached) I'm not sure what kind of graph you're looking for, but I created a table. A represents the number of people attending. B represents the total cost.

IV. Daryl is incorrect. If there are 750 people attending, the total cost would be $16,250 because 750 multiplied by $20 (the cost per person) is $15,000. That plus $1,250 (the cost of the mansion) equals $16,250.

$16,250 does not equal $16,500.