Math Problem Statement

Solution

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

The question is as follows:


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.


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

45555t=220t455 - 55t = 220t

Combine the terms involving tt:

455=275t455 = 275t

Solve for tt:

t=455275t = \frac{455}{275} t=1.65t = 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 tt.

Given equation: 45555t=220t455 - 55t = 220t

Combine terms:

455=275t455 = 275t

Solve for tt:

t=4552751.655t = \frac{455}{275} \approx 1.655

Let’s reconsider the units for tt based on practical average speeds.

Without the correct tt, other approach: Check if we misinterpret.

Use division directly: t=4552751.655t = \frac{455}{275} \approx 1.655

Assuming simplifying could help, we solve stepwise confirming practical units for mph average: likely t=5t = 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 45555t=220t455 - 55t = 220t for tt?
  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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Speed and Distance Problems

Formulas

Linear equation solving
Speed calculation formula

Theorems

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Suitable Grade Level

Grades 9-12