Question

1.The Student Council is planning a dance. The cost to throw the dance will be $100 for decorations and

$500 for a DJ, plus $5 per person for finger foods and soft drinks.
a)Write an equation that relates the total cost, C, in dollars to the number of people, n.

b)Revenue is the money the Student Council receives from the tickets they sell. Tickets to the dance cost
$6 each. Write an equation that relates the total revenue, R, in dollars to the number of tickets sold, n.

Answer 1

1.

a) $600+5n = C

b) 6n = R

Explanation:

For the cost to throw the event, we have to add $100+$500, the decorations and the DJ and then we have to add the variable for people times 5 since it is 5 per person. $100+500 = $600 and 5* n (the variable for people in the question)

We are adding the two terms so the final equation will be equal to:

600+5n

for b), we have to use the variable n for tickets times the constant 6 since it costs 6 dollars per person to enter, and that will be equal to the revenue the student council earns or R.

6*n = 6n

Now we have:

6n=R

Answer 2

1a) C = 600 + 5n

1b) R = 6n

Explanation: