Respuesta :

Answer:

[tex]Distance = 39.2[/tex]

Step-by-step explanation:

Given

[tex]Distance = 6ft;\\ Time = 15seconds[/tex]

Required

Determine the distance covered in 98 seconds

To solve this, the following assumption must be made:

  • The peacock walks at a constant speed

So, first we calculate the speed

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute 6 for Distance and 15 for Time

[tex]Speed = \frac{6}{15}[/tex]

[tex]Speed = 0.40[/tex]

Next, is to calculate the required distance

[tex]Speed = \frac{Distance}{Time}[/tex]

In this case:

[tex]Speed = 0.40[/tex] because it is constant and

[tex]Time = 98[/tex]

The expression becomes:

[tex]0.40 = \frac{Distance}{98}[/tex]

Make Distance the subject:

[tex]Distance = 0.40 * 98[/tex]

[tex]Distance = 39.2[/tex]

The peacock will walk 39.2 feet in 98 seconds

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