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a. A mouse can travel 8 miles per hour. Write an equation to find the total distance \( d \) a mouse can travel in \( h \) hours.

Ask by Malone Dickson. in the United States
Feb 20,2025

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Tutor-Verified Answer

Answer

The equation to find the total distance \( d \) a mouse can travel in \( h \) hours is \( d = 8h \).

Solution

To find the total distance \( d \) that a mouse can travel in \( h \) hours, we can use the formula for distance, which is given by: \[ d = r \cdot t \] where: - \( d \) is the distance, - \( r \) is the rate of travel (in this case, 8 miles per hour), - \( t \) is the time (in this case, \( h \) hours). Substituting the known values into the equation, we have: \[ d = 8h \] This equation represents the total distance \( d \) that the mouse can travel in \( h \) hours at a speed of 8 miles per hour.

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Bonus Knowledge

To find the total distance \( d \) a mouse can travel, multiply its speed by the time it travels. The equation will be: \[ d = 8h \] where \( d \) is the total distance and \( h \) is the number of hours the mouse travels. This simple linear equation indicates that for every hour the mouse scurries along, it covers 8 more miles! Imagine our speedy little friend darting to different destinations—like finding cheese or racing against other critters. Depending on how long it runs (the \( h \) in our equation), you'll be amazed at how far it can go! For instance, if the mouse scampers for 3 hours, just plug in \( h = 3 \) to get \( d = 8 \times 3 = 24 \) miles. That’s a lot of cheese adventures!

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