Answer:
More than 375 miles.
Step-by-step explanation:
Let x represent number of miles.
We have been given that according to plan A, the company charges 20 dollars per day and 8 cents per mile.
The cost of driving a car for x miles would be [tex]0.08x[/tex].
The total cost of driving a car for x miles would be [tex]0.08x+20[/tex].
To find the number of miles, we can represent our given information in an inequality, where cost of plan A is greater than plan B as:
[tex]0.08x+20>50[/tex]
[tex]0.08x+20-20>50-20[/tex]
[tex]0.08x>30[/tex]
[tex]\frac{0.08x}{0.08}>\frac{30}{0.08}[/tex]
[tex]x>375[/tex]
Therefore, we should drive more than 375 miles for plan B to save us money.