The video below explains the meaning of slope and the y-intercept in a real world situation. After watching the video, answer the questions below.
The video below explains the meaning of slope and the y-intercept in a real world situation. After watching the video, answer the questions below.
Source: Linear Equations – Real Life Situation solved in Slope-intercept Form, hannahmnations, YouTube
After calling a rental car company, you learn that to rent a medium-sized car the cost would be $32 per day plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car and x represents the number of miles driven over 150 miles.
Answer the following questions in your notes.
You can check your answers by clicking on the "Check Your Answer" link.
The graph of y = 0.25x + 32 is shown at the right.
1. What does the slope represent in this situation?
Interactive popup. Assistance may be required. cost per mile
2. What does the y- intercept represent in this situation?
Interactive popup. Assistance may be required. the cost of renting the car for 1 day
If you look at the labels on the axes, you will see that the meaning of slope can be found by writing the labels in the rise over run rise run formula.
rise over run rise run = total cost over miles driven total cost miles driven or the cost per mile = 0.25