https://file.aiquickdraw.com/mathbot/file/1723060472042sbqpwsu3.jpg

To analyze the provided question, I'll first extract and interpret the text and mathematical content from the image.

The question is as follows:

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**Practice 26/30**

Marian is driving from Las Vegas to Boise on two consecutive afternoons. She drives 455 miles in total.

Her drive on the second day of the trip can be modeled using the equation 455 - 55t = 220t, where t is her average speed in miles per hour.

On which day was her average speed faster?

(A) On the first day, because her average speed was 25 mph.

(B) On the first day, because her average speed was 30 mph.

(C) On the second day, because her average speed was 25 mph.

(D) On the second day, because her average speed was 30 mph.

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To determine the correct answer, let's solve the given equation for the second day:

\[ 455 - 55t = 220t \]

Combine the terms involving \( t \):

\[ 455 = 275t \]

Solve for \( t \):

\[ t = \frac{455}{275} \]
\[ t = 1.65 \]

This doesn't seem to match the provided options exactly, indicating a possible error in the equation interpretation or a different method for solving the speed on the first day.

Let’s reconsider the typical method to solve for \( t \).

Given equation:
\[ 455 - 55t = 220t \]

Combine terms:

\[ 455 = 275t \]

Solve for \( t \):

\[ t = \frac{455}{275} \approx 1.655 \]

Let’s reconsider the units for \( t \) based on practical average speeds.

Without the correct \( t \), other approach: Check if we misinterpret.

Use division directly:
\[ t = \frac{455}{275} \approx 1.655 \]

Assuming simplifying could help, we solve stepwise confirming practical units for mph average: likely \( t = 5\) or 30 mph correct answers.

Finally, match options:

Check correct for average speed days considering miles covered to find answers match as options:

Here are related questions:

1. What is the total distance covered by Marian?
2. What is the equation for Marian's speed on the second day?
3. How do you solve the equation \( 455 - 55t = 220t \) for \( t \)?
4. What was Marian’s speed on the first day?
5. What was Marian’s speed on the second day?
6. How does the speed on the first day compare to the second day?
7. Which option correctly states Marian's speed on the second day?
8. How does understanding average speed help in solving such problems?

**Tip:** Carefully recheck step in solving speeds practical interpretation mph speed matching real-world scenario steps simplified accurate solving answer comparison options. 

If you have any further questions or need detailed steps on calculations, feel free to ask!

Explore Marian's speed and distance problem involving linear equations. Understand how to solve equations for average speed and determine the correct day with faster speed. Suitable for high school students studying algebra and linear equations.

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