Answer:
The answer is below
Step-by-step explanation:
When renting a car two options listed below are given. You need the car for 3 days. How many miles must you travel in order for option 2 to be the better option? Tell me your variable and what it represents. Then use that variable to set up an equation you can solve to get the answer.
Option 1
Daily fee $50
Cost per mile $0.15
Option 2
Daily fee $65
Unlimited miles
Solution:
The equation of a straight line is given by:
y = mx + b; where m is the slope of the line (that is rate of change) and b is the y intercept (value of y when x is 0).
Let x represent the number of miles travelled in one day and let y represent the total cost incurred for travelling x miles.
Therefore, for option 1, the total cost per day is:
y = 50 + 0.15x (1)
For option 2, the total cost per day is:
y = 65 (2)
Since, we want to determine, how many miles must you travel in order for option 2 to be the better, hence:
65 < 50 + 0.15x
15 < 0.15x
x > 100 miles
Therefore for option 2 to be better, the car must travel more than 100 miles per day.
