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”