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:
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 |
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 length of a rectangle is 3 cm more than twice its breadth'. if x represents the length and y represents the breadth of rectangle then which of the following equations represents the situation? | |||
Right Option : D | |||
View Explanation |
A boat travels with a speed of 15 km/h in still water. In a river flowng at 5 km/hr, the boat travels some distance downstream and then returns. The ratio of average speed to the speed in still water is | |||
Right Option : C | |||
View Explanation |
The difference between a number and its three fifth is 50. The number is ______________- . | |||
Right Option : C | |||
View Explanation |
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