To determine how many miles you would need to drive for Plan B to be equal to or better than Plan A, we can set up an equation.

Let:

• $d$ = number of days
• $m$ = number of miles driven

Cost of Plan A:

$\text{Cost of Plan A} = 25d + 0.10m$

Cost of Plan B:

$\text{Cost of Plan B} = 40d$

To find the point where Plan B is equal to or better than Plan A:

Set the costs equal to each other and solve for $m$:

$25d + 0.10m = 40d$

Simplify the equation:

Subtract $25d$ from both sides:

$0.10m = 15d$

Now, solve for $m$:

$m = \frac{15d}{0.10}$

$m = 150d$

Interpretation:

You would need to drive at least $150d$ miles for Plan B to be equal to or save you money compared to Plan A, where $d$ is the number of days you rent the car.

Would you like any further explanation, or have any questions?

Here are 5 related questions:

1. If you rent the car for 3 days, how many miles would you need to drive for Plan B to save you money?
2. What would be the cost of Plan A if you drove 200 miles in one day?
3. How many days would you have to rent the car for Plan B to save money if you only drive 100 miles per day?
4. What is the breakeven point in terms of miles for a 2-day rental?
5. How would the calculation change if Plan A charged $0.15 per mile instead?

Tip: When comparing two plans, always set up an equation to find the breakeven point where the costs are equal.