Real-World Graphing Applications

Real-World Graphing Applications

Read each question carefully and follow the instructions to graph the real-world applications. Show all your work.

1. A taxi charges a flat fee of $3.00 plus $2.50 per mile. Write an equation that represents the total cost (C) of a taxi ride for 'm' miles. Then, create a graph to show the cost for rides from 0 to 10 miles.

2. The graph below shows the distance a car traveled over time.

a. During which time interval was the car traveling at the fastest speed?  

b. What was the car's speed between 1 and 2 hours?  

c. When was the car stopped?  

3. The height (h) of a projectile launched upwards from a platform is given by the equation h = -16t^2 + 64t + 80, where 't' is the time in seconds. What is the maximum height reached by the projectile?

4. The population of a certain bacteria doubles every hour. If you start with 100 bacteria, write an equation that models the population (P) after 't' hours. Graph the population for the first 5 hours.

5. A graph showing the amount of money in a savings account that earns simple interest will be a straight line.