Food Drivers, a meal delivery service, charges a $4 delivery fee plus $0.25 per mile. Totally Takeout charges a $3.25 delivery fee plus $0.35 per mile.

Write an equation to find the number of miles *m* for which the delivery services would charge the same amount add to item. Choose the correct responses and then round the final answer to the nearest tenth.

   Choose... 0.25 4  *m +*  Choose... 0.25 4  =  Choose... 0.35 3.25  *m +*  Choose... 0.35 3.25 

Let's break down the costs for each delivery service.

- **Food Drivers:** Charges a $4 delivery fee plus $0.25 per mile.  
  - Cost for Food Drivers: $ 4 + 0.25m $

- **Totally Takeout:** Charges a $3.25 delivery fee plus $0.35 per mile.  
  - Cost for Totally Takeout: $ 3.25 + 0.35m $

To find the number of miles $ m $ for which both services charge the same amount, we set the costs equal:

\[
4 + 0.25m = 3.25 + 0.35m
\]

Now, let’s solve this equation step by step.

1. Subtract $ 0.25m $ from both sides to move the variable terms to one side:
   \[
   4 = 3.25 + 0.10m
   \]

2. Subtract $ 3.25 $ from both sides to isolate the variable term:
   \[
   0.75 = 0.10m
   \]

3. Divide both sides by 0.10 to solve for $ m $:
   \[
   m = \frac{0.75}{0.10} = 7.5
   \]

So, the number of miles $ m $ for which the delivery services would charge the same amount is **7.5 miles**.

The correct responses for the equation are:
- $ 4 + 0.25m = 3.25 + 0.35m $
- $ m = 7.5 $ (rounded to the nearest tenth)

If you have any questions or need further explanation, feel free to ask!

Here are 5 related questions:

1. What is the cost for Food Drivers if the distance is 5 miles?
2. How much more does Totally Takeout charge for a 10-mile delivery compared to Food Drivers?
3. If the delivery distance is only 2 miles, which service is cheaper and by how much?
4. At what distance would Totally Takeout become more expensive than Food Drivers?
5. How much would each service charge for an 8-mile delivery?

**Tip:** When dealing with cost comparisons, identifying the point where both services charge the same can help in making informed decisions.

Learn how to find the point where two food delivery services, Food Drivers and Totally Takeout, charge the same amount based on their delivery fees and per-mile charges. Solve the equation step-by-step to determine the number of miles for equal cost. Suitable for students in Grades 6-8.

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