Eric takes a train to his parent's house 320 miles away. If the trip takes 4 hours, what is the unit rate of the train? 1. Use the known information to write a rate. 2. The train's rate: StartFraction 320 miles over 4 hours EndFraction 3. Write an equivalent rate with a denominator of 1. 4. Unit rate:

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Answer:

[tex]Rate = \frac{320\ miles}{4\ hours}[/tex]

[tex]Rate = 80\ miles/hour[/tex]

Step-by-step explanation:

Given

[tex]Distance = 320\ miles[/tex]

[tex]Time = 4\ hours[/tex]

Solving (1): Determine the rate.

Rate, in this case is:

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

[tex]Rate = \frac{320\ miles}{4\ hours}[/tex]

Solving (2): Simplify the denominator to 1

[tex]Rate = \frac{320\ miles}{4\ hours}[/tex]

Divide numerator and denominator by 4

[tex]Rate = \frac{320/4\ miles}{4/4\ hours}[/tex]

[tex]Rate = \frac{80\ miles}{1\ hour}[/tex]

[tex]Rate = 80\ miles/hour[/tex]

Answer:

80

Step-by-step explanation:

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