Question

(04.01) The Martinez family wall

an hour. What equation can be used to calculate their unit rate in miles per hour?
3/5//8/8=1 3/5miles per hour
3/8//3/5=1 3/5mies per hour
3/8//3/5=5/8miles per hour
3/5//3/8=5/8 miles per hour
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Answer 1

Question:

The Martinez family walked three over five of a mile in three over eight of an hour. What equation can be used to calculate their unit rate in miles per hour?

Answer:

`(3/5)/(3/8) = 1 (3)/(5)` mile per hour

Step-by-step explanation:

Given

Distance = 3/5 mile

Time = 3/8 hour

Required

Equation to calculate their unit rate in miles per hour?

To get the equation to calculate their unit rate in miles per hour, follow the steps below;

Step 1: Determine what miles per hour represent;

We know that mile is a measure of distance and hour is a measure of time.

The ratio of these two is a measure of speed.

Hence, the question can be interpreted as write an equation to calculate their speed

Step 2: Calculate their speed

We can calculate speed using the following formula

`Speed = (Distance )/(Time)`

By Substitution

`Speed = (3/5)/(3/8)`

The above expression is the equation that can be used to calculate their unit rate in miles per hour (in other words, their speed)

Solving this expression, we have

`(3/5)/(3/8) = (3)/(5) / (3)/(8)`

Convert division to multiplication

`(3/5)/(3/8) = (3)/(5) * (8)/(3)`

`(3/5)/(3/8) = (8)/(5)`

Convert to mixed fraction

`(3/5)/(3/8) = 1 (3)/(5)`

Hence, the expression is
`(3/5)/(3/8) = 1 (3)/(5)` mile per hour