Q13 of 39 Page 141

An auto charges ₹ 15 for first kilometer and ₹ 8 each for each subsequent kilometer. For a distance of ‘x’ km. an amount of ₹ ‘y’ is paid.

Write the linear equation representing this information and draw the graph. With the help of graph find the distance travelled if the fare paid is ₹ 55? How much would have to be paid for 7 kilometers?

Given that, An auto charges ₹ 15 for first kilometer and ₹ 8 each for each subsequent kilometer. For a distance of ‘x’ km. an amount of ₹ ‘y’ is paid.

⇒ the extra charge for first kilometer apart from 8-


= 15-8 = Rs.7


⇒ y = 8x + 7 is the linear equation.


For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.


(Note: ∵ equation is linear graph will always be straight line.)


Table of solutions for the given equation-



GRAPH:



Now, from the graph, distance travelled if the fare paid is Rs.55


is 6 km (pt. E)


And the money to be paid for 7 kilometers is Rs. 63. (pt. F)


More from this chapter

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11

In a election 60% of voters cast their votes. Form an equation and draw the graph for this data. Find the following from the graph.

(i) The total number of voters, if 1200 voters cast their votes


(ii) The number votes cast, if the total number of voters are 800


[Hint: If the number of voters who cast their votes be ‘x’ and the total number of voters be ‘y’ then x = 60% of y.]


 12

When Rupa was born, his father was 25 years old. Form an equation and draw a graph for this data. From the graph find

(i) The age of the father when Rupa is 25 years old.


(ii) Rupa’s age when her father is 40 years old.

 14

A lending library has fixed charge for the first three days and an additional charges for each day thereafter. John paid ₹ 27 for a book kept for seven days. If the fixed charges be ₹ x and subsequent per day charges be ₹ y, then write the linear equation representing the above information and draw the graph of the same. From the graph if the fixed charge is ₹ 7 the subsequent per day charge ? and if the per day charge is ₹ 4/- find the ‘fixed’ charge ?

 15

The parking charges of a car in Hyderabad Railway station for first two hours is ₹ 50 and ₹10 for each subsequent hour. Write down an equation and draw the graph. Find the following charges from the graph

(i) For three hours


(ii) For six hours


(iii) How many hours did Rekha park her car if she paid ₹ 80 as parking charges?