Find the linear function f x f x passing through the points and enter your answer using function notation

payments cost $420 per month and gasoline, oil, and routine maintenance cost $0.52 per mile. a. Find a linear function f that gives the annual cost of driving this car x miles b. What are the domain and range of this function?

e was $53.50. Assuming that the rate increase per year is constant, find a linear cost function to model the increase in cable rates. Let x= the number of years after 1990, and C(x) equal the cable TV charges.

itially, the balloon contains 4 ft3 of hydrogen and it takes 14 seconds to com- pletely fill the balloon. (a) At what rate is the balloon filled? (b) Find a linear function V that models the volume of hydrogen in the balloon at any time t. (c) What can you say about the graph of V ? (You do not need to sketch the graph.)

pizza is already available to you, the only cost involved is that of making the pizza, which you calculate to be $ 5 per pizza. a. What is the cost function? If 10 pizzas are available in a day, the market offers a price of $ 11 per pizza. If 50 pizzas are available in a day, the market offers a price of $ 7 per pizza. b. Assuming a linear relationship between price and quantity, find the price that the market offers as a function of the number of pizzas available. You start selling the pizzas. c. What is revenue as a function of the quantity you sell? What is the profit function? d. What quantity will maximize your profit? Call it q ∗ 1. What is the maximum profit? e. If somebody is already supplying 5 pizzas every day, What is the maximum profit that you can make?

-1 and c = 4. So quadratic function is y = 2x^2 - x + 4. Next question is: suppose that the 3rd point is written as (3, t). Find all values for t that will change the quadratic function y =ax^2 + bx + c into a linear function.

) ( - 4 , 8 ) and ( − 3 , 8 ) ( - 3 , 8 ) . Enter your answer using function notation.