A car rental company offers two plans for renting a car.
     Plan A: $25 per day and $0.10 per mile
     Plan B: $40 per day with free unlimited mileage
How many miles would you need to drive for plan B to be equal or save you money?

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.

Learn how to calculate when Plan B saves you money compared to Plan A in car rentals. Understand the cost analysis based on rental days and mileage driven. Suitable for grades 7-9.

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