Tom travels between the two mile markers shown and then finds his average speed in miles per hour. Select the three equations that represent this situation.

Tom travels between the two mile markers shown and then finds his average speed in miles per hour Select the three equations that represent this situation class=

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Answer:

1.5 hours is the correct answer !

Step-by-step explanation:

Ver imagen Аноним

Speed is the rate of distance over time.

The equations are:

  • [tex]\mathbf{Speed = \frac{195\ miles}{3\ hours}}[/tex]
  • [tex]\mathbf{3\ hours \times Speed = 195\ miles}[/tex]
  • [tex]\mathbf{3\ hours = \frac{195\ miles}{Speed}}[/tex]

The given parameters are:

[tex]\mathbf{(t_1,d_1) = (1:30pm,35miles)}[/tex]

[tex]\mathbf{(t_2,d_2) = (4:30pm,230miles)}[/tex]

So, the time difference is:

[tex]\mathbf{t=4:30pm - 1:30pm}[/tex]

[tex]\mathbf{t=3\ hours}[/tex]

The distance traveled is:

[tex]\mathbf{d = 230miles - 35miles}[/tex]

[tex]\mathbf{d = 195miles}[/tex]

Speed is calculated as:

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

So, we have:

[tex]\mathbf{Speed = \frac{195\ miles}{3\ hours}}[/tex]

Multiply both sides by 3 hours

[tex]\mathbf{3\ hours \times Speed = 195\ miles}[/tex]

Divide both sides by Speed

[tex]\mathbf{3\ hours = \frac{195\ miles}{Speed}}[/tex]

Hence, the equations are:

[tex]\mathbf{Speed = \frac{195\ miles}{3\ hours}}[/tex]

[tex]\mathbf{3\ hours \times Speed = 195\ miles}[/tex]

[tex]\mathbf{3\ hours = \frac{195\ miles}{Speed}}[/tex]

Read more about speed and rates at:

https://brainly.com/question/359790

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