an auto charges rupees 15 for first km and rupees 8 for subsequent km for a distance of x km an amount rupees y is paid . write the linear equation representing this information and draw the graph with the help of graph find the distance traveled if fair paid rupees 55 ?how much would have to be paid for 7km
step by step explanation ..
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Answers
Step-by-step explanation:
The auto charges Rs. 15 for first kilometer and Rs. 8 each for each subsequent km. That means for a distance of x km, Rs. 15 is paid for the first kilometer and Rs. 8 is paid for the next (x-1) kilometer each.
If the total amount paid is y , then the equation will be.....
y= 15+8(x-1)\\ \\ y= 15+8x-8\\ \\ y= 8x+7
For graphing the equation, we will make a table for getting some points and then plot them on the graph paper. Here the value of x can't be negative, as x is the distance. (Please look at the below image for table and graph)
We can see in the graph that y=55 line in intersecting the graph at (6, 55) point , that means the distance traveled for the fare of Rs. 55 will be 6 km.
Now, for distance of 7 km, we will plug x=7 into the above equation....