Which of the following equations, where [tex]d[/tex] is distance in miles and [tex]t[/tex] is time in hours, represents a speed that is less than that of the leatherback sea turtle?

Choose all answers that apply:
A. [tex]d=2.192 t[/tex]
B. [tex]d=20 t[/tex]
C. [tex]d=22 t[/tex]
D. [tex]d=30 t[/tex]



Answer :

To determine which equations represent speeds that are less than that of the leatherback sea turtle, we need to compare the speeds given by each equation to the speed of the leatherback sea turtle.

First, let's express the speed of the leatherback sea turtle in miles per hour:
- The leatherback sea turtle speed is 22 miles per hour.

Next, we need to identify the speed corresponding to each equation:
- For equation (A) [tex]\( d = 2.192t \)[/tex], the speed is 2.192 miles per hour.
- For equation (B) [tex]\( d = 20t \)[/tex], the speed is 20 miles per hour.
- For equation (C) [tex]\( d = 22t \)[/tex], the speed is 22 miles per hour.
- For equation (D) [tex]\( d = 30t \)[/tex], the speed is 30 miles per hour.

We now compare each speed to the speed of the leatherback sea turtle:
- Equation (A): 2.192 miles per hour < 22 miles per hour. Therefore, this speed is less than the turtle's speed.
- Equation (B): 20 miles per hour < 22 miles per hour. Therefore, this speed is less than the turtle's speed.
- Equation (C): 22 miles per hour = 22 miles per hour. This speed is equal to the turtle's speed, not less.
- Equation (D): 30 miles per hour > 22 miles per hour. Therefore, this speed is greater than the turtle's speed.

So, the equations that represent speeds less than that of the leatherback sea turtle are:
- [tex]\( d=2.192t \)[/tex] (A)
- [tex]\( d=20t \)[/tex] (B)

Therefore, the correct answers are (A) and (B).