Question

# A caterer charges $110 to cater a party for 10 people and $220 for 20 people. Assume the cost, y, is a linear function of the number of x people. Write an equation in slope-intercept form for this function. What does the slope represent? How much would a party for 60 people cost?

Answer

y = 11x + 110, The slope represents the additional cost per person beyond the base cost of $110. A party for 60 people would cost $770.

- Q: What is the cost of 10 people? What is the cost of 20 people? A: The cost of 10 people is $110. The cost of 20 people is $220.
- Q: What is the slope of the function? A: The slope of the function is (220 - 110) / (20 - 10) = 110 / 10 = 11.
- Q: What is the y-intercept of the function? A: The y-intercept of the function is 110.
- Q: What is the equation of the function? A: y = 11x + 110.
- Q: What does the slope represent? A: The slope represents the additional cost per person beyond the base cost of $110.
- Q: How much would a party for 60 people cost? A: A party for 60 people would cost y = (11 * 60) + 110 = $770.