Question

slow and steady wins the race. the leatherback sea turtle is the fastest known reptile, with a maximum 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 leatherback sea turtle? choose all answers that apply: a $d = 2.192t$ b $d = 20t$ c $d = 22t$ d $d = 30t$

Explanation:

Step1: Recall speed formula

The formula for speed \( v \) is \( v=\frac{d}{t} \). For an equation \( d = vt \), the coefficient of \( t \) is the speed \( v \). The leatherback sea turtle's speed is \( 21.92 \) mph. We need to find equations where the speed (coefficient of \( t \)) is less than \( 21.92 \).

Step2: Analyze Option A

For \( d = 2.192t \), the speed \( v = 2.192 \) mph. Since \( 2.192<21.92 \), this is valid.

Step3: Analyze Option B

For \( d = 20t \), the speed \( v = 20 \) mph. Since \( 20<21.92 \), this is valid.

Step4: Analyze Option C

For \( d = 22t \), the speed \( v = 22 \) mph. Since \( 22>21.92 \), this is not valid.

Step5: Analyze Option D

For \( d = 30t \), the speed \( v = 30 \) mph. Since \( 30>21.92 \), this is not valid.

Answer:

A. \( d = 2.192t \), B. \( d = 20t \)