Math 34A Chapter 6 examples Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

Example: In a meal plan at a college you pay a monthly membership fee, and then you receive all meals at a predetermined fixed price per meal. a) If 30 meals cost $152.50 and 60 meals cost $250, find the membership fee and the fixed price for a meal. b) Write a formula for the cost of a meal plan, C, in terms of the number of meals, m. c) Find the cost for 50 meals. d) Now find m in terms of C. e) Use part d) to determine the maximum number of meals you can buy on a budget of $300.

Linear Functions can always be written as y = mx + b; m=slope; b=y-intercept

Linear Functions can always be written as y = mx + b; m=slope; b=y-intercept

“Proportional to” means “Equals a constant times” “Inversely Proportional to” means “Equals a constant divided by”