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The inequality given is:

\[ 8x < 7.4x + 10 \]

Let's break down each word problem option to see which one it corresponds to.

**Option A:**
Sergi has two phone plans. In plan A, he pays 10¢ for the first minute and 7.4¢ per minute for the rest of the call, while in plan B, he pays a uniform 8¢ per minute. We are asked to find which call durations, in minutes, would make plan B cheaper.

- Plan A cost for \( x \) minutes: \( 0.10 + 7.4(x - 1) \)
- Plan B cost for \( x \) minutes: \( 8x \)

We want to find when plan B is cheaper than plan A:

\[
8x < 0.10 + 7.4(x - 1)
\]
Simplifying:
\[
8x < 0.10 + 7.4x - 7.4
\]
\[
8x - 7.4x < -7.3
\]
\[
0.6x < -7.3
\]
\[
x < -12.17
\]

This is not the inequality given, so this is not the correct option.

**Option B:**
Bob’s garden has a length of 8 yards, while Ted’s garden has two sections with a total length of 7.4 yards. We compare their areas, but this doesn't involve a comparison that matches our inequality.

**Option C:**
Jillian and Linda have tiles with areas of 7.4 and 8 square inches, respectively. We’re asked about the number of tiles given a total area. This is not directly related to the given inequality.

**Option D:**
DeShawn's average speed is 8 meters per second, and Lenny’s is 7.4 meters per second. Lenny starts 10 meters ahead. We want to find the time when DeShawn catches up:

Distance DeShawn covers: \( 8t \)  
Distance Lenny covers: \( 7.4t + 10 \)

We need \( 8t < 7.4t + 10 \).

Simplifying:
\[
8t - 7.4t < 10
\]
\[
0.6t < 10
\]
\[
t < \frac{10}{0.6}
\]
\[
t < 16.67
\]

This simplifies to a similar form to the given inequality \( 8x < 7.4x + 10 \).

**Conclusion:** Option D is the correct choice.

Do you want more details or have any questions?

Here are some related questions:
1. How do you interpret inequalities in different word problems?
2. What are the steps to set up an inequality from a word problem?
3. How do you solve inequalities involving speed and time?
4. What are other real-world scenarios that can be modeled using inequalities?
5. How do you graphically represent the solution to an inequality?

**Tip:** Always isolate the variable on one side of the inequality to easily interpret the solution.

Which of these word problems could the inequality 8x < 7.4x + 10 represent?

Learn how to identify and solve word problems involving linear inequalities. This problem focuses on using inequalities to compare speeds and head starts in a real-world scenario, making it ideal for students in Grades 7-9.

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