"Question 8 Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?
Class 8 Direct and Inverse Proportions Page 208"
Answers
If two quantities increase or decrease together in such a manner that the ratio of their corresponding values remain constant, we say that the two quantities vary directly.
In other words x and y are said to vary directly if X/y = k , where k is a positive constant.
In direct Proportion
x/y= k
x=ky
So we can find value of k from known values, and then use the formula to calculate the unknown values.
When two quantities x and y are in direct proportion (or vary directly) they are also written as x∝y.
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Solution:
[Table is in the attachment]
Lett the distance represented in the map be ‘x’.
Here distance covered in road and the distance represented in the map are in direct proportion.
18/1 = 72/x
X× 18 = 72× 1
X= 72/18
X= 4 cm
Hence, the distance covered in the map is 4cm.
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Hope this will help you...
Answer:
4 cm
Step-by-step explanation:
scale 1 cm representing 18 km
Distances covered on road =72km
let the distance covered be x
18/1=72/x
x = 72/18=4 cm