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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 [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]\(d = 2.192t\)[/tex]

B. [tex]\(d = 20t\)[/tex]

C. [tex]\(d = 22t\)[/tex]

D. [tex]\(d = 30t\)[/tex]

Sagot :

GinnyAnswer
To solve this problem, we need to determine which of the given options represents speeds that are less than the maximum speed of the leatherback sea turtle, which is 21.92 miles per hour (mph).

First, let's identify the speed represented by each equation by focusing on the coefficient of [tex]\( t \)[/tex] (which represents time in hours) in each equation:

1. Option A: [tex]\( d = 2.192 t \)[/tex]

- The coefficient of [tex]\( t \)[/tex] is 2.192.
- This means the speed is 2.192 mph.

2. Option B: [tex]\( d = 20 t \)[/tex]

- The coefficient of [tex]\( t \)[/tex] is 20.
- This means the speed is 20 mph.

3. Option C: [tex]\( d = 22 t \)[/tex]

- The coefficient of [tex]\( t \)[/tex] is 22.
- This means the speed is 22 mph.

4. Option D: [tex]\( d = 30 t \)[/tex]

- The coefficient of [tex]\( t \)[/tex] is 30.
- This means the speed is 30 mph.

Now, we compare each speed to the leatherback sea turtle's speed of 21.92 mph:

1. Option A: 2.192 mph
- 2.192 < 21.92
- Therefore, this speed is less than that of the leatherback sea turtle.

2. Option B: 20 mph
- 20 < 21.92
- Therefore, this speed is also less than that of the leatherback sea turtle.

3. Option C: 22 mph
- 22 > 21.92
- Therefore, this speed is not less than that of the leatherback sea turtle.

4. Option D: 30 mph
- 30 > 21.92
- Therefore, this speed is not less than that of the leatherback sea turtle.

Therefore, the correct answers are:

- Option A: [tex]\( d = 2.192 t \)[/tex]
- Option B: [tex]\( d = 20 t \)[/tex]

These equations represent speeds that are less than the maximum speed of the leatherback sea turtle.
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