Question

on a particular map in a road atlas, a distance of 70 miles corresponds to 4 cm. How many miles correspond to 11cm?

Answer 1

192.5 miles.

Explanation:

We are told that on a particular map in a road atlas, a distance of 70 miles corresponds to 4 cm.

First of all let us find unit rate of the map scale. Since we know that unit rate is represented as a quantity of 1, such as 2 feet per second or 15 miles per hour.

`\text{Unit rate }=\frac{70\text{ Miles}}{\text{4 cm}}`

`\text{Unit rate }=17.5\frac{\text{ Miles}}{\text{cm}}`

So, 1 cm on map equals to a road distance of 17.5 miles. To find the number of miles that will correspond to 11 cm we will multiply 17.5 by 11.

`\text{Number of miles corresponds to 11 cm}=17.5\frac{\text{ miles}}{\text{cm}}* 11\text{ cm}`

`\text{Number of miles corresponds to 11 cm}=17.5\text{ miles}* 11`

`\text{Number of miles corresponds to 11 cm}=192.5\text{ miles}`

Therefore, 11 cm on map corresponds to a road distance of 192.5 miles.

Answer 2

192.5 miles corresponds to 11 cm

Explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement:

on a particular map in a road atlas, a distance of 70 miles corresponds to 4 cm.

We have to find the how many miles corresponds to 11 cm.

Let x be the miles corresponds to 11 cm.

By definition of proportion we have;

`(70)/(4) = (x)/(11)`

Multiply both sides by 11 we have;

`x = (70)/(4) * 11 = (770)/(4) = 192.5\text{miles}`

Therefore, 192.5 miles corresponds to 11 cm