Scientists are preparing two satellites to be launched. The graph below represents the number of miles, yy, that the satellite, Space Explorer B, flies in xx hours.
0
Hours
Miles
x
y
0
Hours
Miles
Space Explorer B
(5,40000)
(10,80000)
The table below represents the number of miles, yy, that the satellite, Space Explorer A, flies in xx hours.
Space Explorer A
Hours left parenthesis x right parenthesisHours (x)	Miles left parenthesis y right parenthesisMiles (y)
77	1540015400
99	1980019800
1111	2420024200
1313	2860028600
Use the dropdown menu and answer-blank below to form a true statement.
Answer
Attempt 2 out of 2

Space Explorer A travels 
 miles 
 than Space Explorer B in one hour.

To solve this problem, we need to calculate the rate (miles per hour) for both Space Explorer A and Space Explorer B and then compare the two rates.

### Step 1: Calculate the rate for Space Explorer A
We have the following data points for Space Explorer A:
- (7, 15400)
- (9, 19800)
- (11, 24200)
- (13, 28600)

The rate for Space Explorer A can be calculated by taking the difference in miles divided by the difference in hours. Let's use the first and last points to find the rate:

\[
\text{Rate of A} = \frac{\Delta y}{\Delta x} = \frac{28600 - 15400}{13 - 7} = \frac{13200}{6} = 2200 \text{ miles per hour}
\]

### Step 2: Calculate the rate for Space Explorer B
From the graph, we have two points for Space Explorer B:
- (5, 40000)
- (10, 80000)

Using these points, we can calculate the rate for Space Explorer B:

\[
\text{Rate of B} = \frac{\Delta y}{\Delta x} = \frac{80000 - 40000}{10 - 5} = \frac{40000}{5} = 8000 \text{ miles per hour}
\]

### Step 3: Compare the rates
- Rate of Space Explorer A: 2200 miles per hour
- Rate of Space Explorer B: 8000 miles per hour

Now, we can compare the two rates:

\[
\text{Difference in rate} = 8000 - 2200 = 5800 \text{ miles per hour}
\]

### Conclusion:
Space Explorer A travels **5800 miles per hour less** than Space Explorer B in one hour.

---

Would you like more details or further clarifications?

Here are some related questions:
1. How can we interpret a graph to calculate speed?
2. What are the units of rates, and why are they important in this context?
3. What would happen if both satellites traveled for 24 hours?
4. How can you create a table similar to Space Explorer A's data for Space Explorer B?
5. What role does the slope of a line play in determining speed in such problems?

**Tip:** To find the rate of change (like speed), use two data points and divide the change in output (miles) by the change in input (hours).

Scientists are preparing two satellites to be launched. The graph below represents the number of miles, y, that the satellite, Space Explorer B, flies in x hours. The table below represents the number of miles, y, that the satellite, Space Explorer A, flies in x hours. Use the dropdown menu and answer-blank below to form a true statement. Space Explorer A travels ___ miles less than Space Explorer B in one hour.

Learn how to compare the speeds of two satellites, Space Explorer A and Space Explorer B, using rates and linear relationships. Understand how to calculate the rate of change for each satellite, and find out how much faster Space Explorer B is compared to Space Explorer A. Suitable for students in Grades 6-8.

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