Word Problems Representation
Word Problems Representation
We have to examine the statement clearly and identify our supposition.
After assuming the variable we write the statement mathematically
Illustration: A cab charges per person Rs 15 for the first Kilometer and Rs 10 for each subsequent kilometer. For a distance of x km formulate an equation for the amount charged as y rs.
Solution: Assuming distance as x km
Assuming Amount as y Rs
For the first kilometer Amount = 15 Rs
The number of remaining Kilometer = x-1
Amount for remaining kilometers Amount = (x-1) X 10
Total Amount = Amount for First Kilometer + Amount for Remaining Kilometer
y= 15+(x-1)X 10
y= 15 + 10x -10
y= 10x+5
Illustration: In countries like USA and Canada, temperature is measured in Fahrenheit,whereas in countries like India,it is measured in Celsius.Here is a linear equation that converts Fahrenheit to Celsius:
If the temperature is 350C ,what is the temperature in Fahrenheit ?
If the temperature is 990F,what is the temperature in Celsius ?
Solution: We have
When C = 0 ,
When C = 15,
When C = -10,
We have the following table: :
| C | 0 | -15 | - 10 |
| F | 32 | 5 | 14 |
Plotting the ordered pairs (0, 32), (-15, 5) and (-10,14) on a graph paper. Joining these points, we get a straight line AB.
2. From the graph, we have 86°F corresponds to 30°C.
3. From the graph, we have 95°F corresponds 35°C.
4. We have, C = 0
From (1), we get
Also, F = 0
From (1), we get
5. When F = C (numerically)
From (1), we get
'The denominator of a fraction is 5 more than twice the numerator'. if x represents the numerator and y represents the denominator, then which of the following equations represents the situation? | |||
| Right Option : A | |||
| View Explanation | |||
Write an equation of a line passing through the point (0,5) and parallel to x-axis | |||
| Right Option : C | |||
| View Explanation | |||
A can do a piece of work in 24 days. If B is 60% more efficient than A, then the number of days required by B to do the twice as large as the earlier work is | |||
| Right Option : D | |||
| View Explanation | |||
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