Question

An auto charges rs 15 for first kilometer and rs 8 each for each subsequent km .For a distance of x km , an amount of rs 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 rs 55? how much would have paid for 7 kms

Answer 1

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....

$y= 8(7)+7\\ \\ y= 56+7=63$

So, Rs. 63 need to paid for 7 km.

Answer 2

Hey mate I have attached your answer check it

First pic is graph and second pic is the solution