Rate of Change and Modeling Practical Situations

Find the rate of change between the points (-2 , 10) & (4 , 14); x in minutes, and y in feet

When a tow truck is called, the cost of the service is $10 plus $1 per mile that the car must be towed. Write a linear equation to represent the total cost of the towing service.

Your new job is at the Custom T- Shop, where T-shirts are printed to order. For each order, Custom T Shop, charges $8.00 per shirt plus a one time set up fee of $15.00. Write a linear equation to show the relationship.

When a plumber is called, the cost of the service call is $50 for him to show up at your house, plus an additional $25 per hour. Write a linear equation.

Your cell phone company charges $20 a month plus $0.50 per text message. Write an equation to show the total cost the cell phone company charges.

Suppose a town has a population of 5,000 residents but that the population is decreasing by 200 people each year. Write a linear equation for this situation.

At a fair, Bob draws caricatures. He pays the fair $30 for the space to set up a table and $2 for each drawing he sells. Write a linear equation to show how much he pays total.

The rental rate at Rent a Wreck is $30 per day plus $0.25 per mile driven. Write a linear equation to find the total cost for each day.

Mike is buying a large pizza. The pizza cost $8.00 plus $0.50 for each additional topping. Which function correctly models the situation?

Bob the plumber charges $15 per hour plus a service fee of $40 for coming out to your house. Which function models this situation?

Valerie is traveling at a rate of 65mph. Which function would be used to model the situation?

Thomas got a speeding ticket. The cop said he has to pay $10 per hour he was going over the speed limit. Plus Thomas has to pay $115 court cost. Which equation models what Thomas would have to pay?

A business purchases a computer for $1500. The computer goes down in value $200 each year when the new model is released. Write a function to model the situation.

There were approximately 11,000 students enrolled at Western Carolina last year. This figure goes up about 225 each year. Write a function to model this situation.

Ted's Taxi service charges a $5 pick up fee plus $2 per mile. Which function describes the situation

Alan buys a new car for $25,000. It depreciates at a rate of $2000 per year. Which function can be used to find the value after x years?