Question

Jamal is renting a party room for his birthday party. He has to pay $4 per person (n) that comes, and there is also a $50 one-time fee for the room. Which equation correctly shows the total cost of the rent for this room, V?

Answer 1

The equation that represents the total cost (V) of renting the party room for Jamal's birthday party is V = 4n + 50, where n is the number of persons attending the party.

Step-by-step explanation:

The total cost of the rent for Jamal's birthday party can be represented by a linear equation that includes both a variable component and a fixed component. The variable component is the cost per person, which is $4 multiplied by the number of people attending (n). The fixed component is the one-time fee for the room, which is $50. Therefore, the equation that correctly shows the total cost of the rent for the room (V) is V = 4n + 50.

Here's a step-by-step explanation:

1. Identify the variable and fixed costs. The variable cost is $4 per person (n), and the fixed cost is a one-time fee of $50.
2. Express the total cost (V) as the sum of the variable cost and the fixed cost. The variable cost is represented as 4n, where n is the number of guests.
3. Add the fixed cost to the equation: V = 4n + 50.