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In Mathematics / College | 2025-07-04

Which equation represents the number of inches (i) a snail crawls if it crawls 7.6 inches per hour ($h$)? How far will the snail crawl in 8 hours?
A) $h=7.6 i, 1.05$ inches
B) $i=7.6 h, 1.05$ inches
C) $i=7.6 h, 60.8$ inches
D) $h=7.6 i, 60.8$ inches

Asked by ycdkam

Answer (2)

The equation representing the snail's crawl is $i = 7.6h$.
Substitute $h = 8$ hours into the equation.
Calculate the distance: $i = 7.6 \times 8 = 60.8$ inches.
The snail crawls $\boxed{60.8}$ inches in 8 hours.

Explanation

Understanding the Problem The problem states that a snail crawls 7.6 inches per hour. We need to find an equation that represents the number of inches ($i$) the snail crawls in terms of the number of hours ($h$) it crawls. We also need to calculate how far the snail will crawl in 8 hours.

Formulating the Equation Since the snail crawls 7.6 inches every hour, the total distance crawled ($i$) is equal to 7.6 times the number of hours ($h$). This can be represented by the equation: i = 7.6 h

Calculating the Distance Now, we need to find the distance the snail crawls in 8 hours. We substitute $h = 8$ into the equation: i = 7.6 × 8

Finding the Solution Calculating the value: i = 60.8 The snail crawls 60.8 inches in 8 hours.

Selecting the Correct Option Comparing our equation and calculated distance with the given options, we find that option C matches our results.


Examples
Understanding how distance, rate, and time relate to each other is crucial in everyday life. For instance, if you're planning a road trip, knowing your average speed (rate) and the time you'll be driving allows you to estimate the total distance you'll cover. Similarly, if you know the distance to your destination and your average speed, you can calculate the time it will take to get there. This concept is also applicable in various fields such as logistics, transportation, and even sports, where calculating speed, distance, and time is essential for optimizing performance and planning strategies. The relationship between distance, rate, and time is expressed as: D i s t an ce = R a t e × T im e .

Answered by GinnyAnswer | 2025-07-05

The equation representing the distance a snail crawls is i = 7.6 h . In 8 hours, the snail crawls 60.8 inches. Therefore, the correct choice from the options provided is C.) i = 7.6 h , 60.8 inches.
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Answered by Anonymous | 2025-07-06

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