Answer:
192.5 miles corresponds to 11 cm
Step-by-step 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;
[tex]\frac{70}{4} = \frac{x}{11}[/tex]
Multiply both sides by 11 we have;
[tex]x = \frac{70}{4} \times 11 = \frac{770}{4} = 192.5\text{miles}[/tex]
Therefore, 192.5 miles corresponds to 11 cm
Answer:
192.5 miles.
Step-by-step 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.
[tex]\text{Unit rate }=\frac{70\text{ Miles}}{\text{4 cm}}[/tex]
[tex]\text{Unit rate }=17.5\frac{\text{ Miles}}{\text{cm}}[/tex]
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.
[tex]\text{Number of miles corresponds to 11 cm}=17.5\frac{\text{ miles}}{\text{cm}}\times 11\text{ cm}[/tex]
[tex]\text{Number of miles corresponds to 11 cm}=17.5\text{ miles}\times 11[/tex]
[tex]\text{Number of miles corresponds to 11 cm}=192.5\text{ miles}[/tex]
Therefore, 11 cm on map corresponds to a road distance of 192.5 miles.
