Question

A caterer chargers $120 to carter a party for 15 people and $200 for 25 people. Write an equation to model the situation.

Answer 1

y = 8x

Explanation:

When the number of people increased by 10, the caterer charged an additional $80. Therefore, we estimate that the cost per person is $8. In order to verify:

• $8/person × 15 people = $120. True.
• $8/person × 25 people = $200. True.

Therefore, if we let x represent the number of people being cater for and y represent the cost, the equation to model the situation is simply y = 8x.