Question

(6 points) You are asked to plan a birthday party for your friend. You rent a room at theirfavorite restaurant for $150. In addition, you need to pay $35 for each guest. Write aformula that gives your total cost C, in dollars, as a function of the number n of partyguests.

Answer 1

We know that

• You rent a room at their favorite restaurant for $150.

,

• You need to pay $35 for each guest.

$35 represents the ratio of change, $150 represents the initial condition. With these two we can form a liner equation as follows

`C=35n+150`

Where C is the total cost, and n is the number of guests.

35 is a coefficient because it's a rate of change. 150 is an independent term because that's the initial condition that doesn't depend on any variable.