On a cross-country trip, a car uses 5 gallons of gas for every 120 miles it travels. How many gallons of gas does the car use if it travels 600 miles? How far can the car travel if it uses 30 gallons of gas?
Make a table of equivalent ratios to help you answer the questions. Then graph the ratios.
The car uses gallons of gas if it travels 600 miles.
(Type a whole number.)

Question

On a cross-country trip, a car uses 5 gallons of gas for every 120 miles it travels. How many gallons of gas does the car use if it travels 600 miles? How far can the car travel if it uses 30 gallons of gas?
Make a table of equivalent ratios to help you answer the questions. Then graph the ratios.
The car uses

gallons of gas if it travels 600 miles.
(Type a whole number.)

UpStudy AI · Accepted Answer

To solve the problems, let's create a table of equivalent ratios based on the given information and then determine the required values.

### Given:
- **5 gallons** of gas are used for **120 miles**.

### Table of Equivalent Ratios:

| Gallons of Gas (G) | Miles Traveled (M) |
|--------------------|--------------------|
| 5                  | 120                |
| 10                 | 240                |
| 15                 | 360                |
| 20                 | 480                |
| 25                 | 600                |
| 30                 | 720                |

### Solving the Questions:

1. **How many gallons of gas does the car use if it travels 600 miles?**

From the table, **600 miles** corresponds to **25 gallons**.

$$
   \boxed{25}
   $$

2. **How far can the car travel if it uses 30 gallons of gas?**

From the table, **30 gallons** correspond to **720 miles**.

### Graphing the Ratios:

To visualize the relationship between gallons of gas used and miles traveled, you can plot the points from the table on a graph where the x-axis represents gallons of gas and the y-axis represents miles traveled.

![Graph of Gallons vs. Miles](https://i.imgur.com/your-graph-url.png) *(Please plot the points based on the table provided.)*

### Summary:
- The car uses **25 gallons** of gas if it travels **600 miles**.
- With **30 gallons** of gas, the car can travel **720 miles**.
The car uses 25 gallons of gas if it travels 600 miles.

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