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Slow and steady wins the race. The leatherback sea turtle is the fastest known reptile, with a maxyimum speed of 21.92 miles per hour (mph). Which of the following equations, where \( d \) is distance in miles and \( t \) is time in hours, represents a speed that is less than that of the leatherbach sea turtle? choose all answers that apply.

Ask by Delgado Adkins. in the United States
Mar 20,2025

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Tutor-Verified Answer

Answer

To find equations where the speed is less than 21.92 mph, use the inequality \( d < 21.92t \).

Solution

To determine which equations represent a speed that is less than that of the leatherback sea turtle, we need to establish the relationship between distance \( d \), time \( t \), and speed. The speed \( s \) can be expressed as: \[ s = \frac{d}{t} \] Given that the maximum speed of the leatherback sea turtle is 21.92 mph, we want to find equations where the speed \( s \) is less than 21.92 mph: \[ \frac{d}{t} < 21.92 \] This can be rearranged to: \[ d < 21.92t \] Now, we need to evaluate the provided equations to see if they satisfy this condition. Please provide the equations you would like to evaluate.

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Beyond the Answer

To find equations that represent a speed less than 21.92 mph, we need to look for equations where the ratio of distance (d) to time (t) yields a value less than 21.92. 1. If we take the equation \( d = 20t \), it shows that for each hour (t), the turtle would have traveled 20 miles. Since 20 mph is less than 21.92 mph, this equation fits the criteria. 2. Another example: \( d = 15t \) which shows that for each hour of travel, the distance covered is 15 miles. This results in a speed of 15 mph, also below the turtle's impressive top speed. Keep an eye out for equations that mathematically represent speeds lower than 21.92 mph, such as those with coefficients close to or below 20!

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