Find the rate of auto fare declared by jablpur Transport corporation. Find the fixed Fare and for the subsequent distance in km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.
need correct answer.....☺️
urjent tommorow is my test ....
no copied answer please
Answers & Comments
Let's assume that Jabalpur Transport Corporation charges a fixed fare of Rs. 20 for the first kilometer, and Rs. 10 for every subsequent kilometer.
Using this information, we can create a linear equation as follows:
↝ y = 10x + 20
Where y represents the total fare charged for a distance of x kilometers.
To draw the graph of this equation, we can plot the points on a coordinate plane. Let's assume we want to find the total fare for a distance of 5 km. We can substitute x = 5 into the equation to get:
↝ y = 10(5) + 20
↝ 70
This means that the total fare for a distance of 5 km would be Rs. 70.
To plot this on a graph, we can plot the point (5, 70), where 5 represents the distance covered in km and 70 represents the total fare in Rs. We can then connect this point with the origin (0, 20) to draw a straight line. This line represents the linear equation y = 10x + 20, and shows how the total fare increases as the distance covered increases.
To draw the graph of the linear equation y = 10x + 20, you can follow these steps:
1. Draw a coordinate plane with x-axis and y-axis. Label the x-axis as "Distance (in km)" and the y-axis as "Total fare (in Rs.)".
2. Mark the point (0, 20) on the y-axis. This represents the fixed fare of Rs. 20 for the first kilometer.
3. Using a ruler, draw a straight line that passes through the point (0, 20) and has a slope of 10. To do this, you can mark another point on the line that is 1 unit to the right and 10 units above the point (0, 20). This point represents the fare for a distance of 1 km plus the fixed fare. Then, draw a straight line that passes through these two points, and continue the line in both directions.
4. Label the points on the line with the corresponding distance and fare values. For example, mark the point (1, 30) to represent the fare for a distance of 1 km plus the fixed fare, and mark the point (2, 40) to represent the fare for a distance of 2 km plus the fixed fare, and so on.
5. You can also add a title to the graph, such as "Total Fare vs. Distance Covered".
___________________________
All the best for tomorrow :))
~ Regards —eléanor ")
Verified answer
Answer:
To find the total auto fare of the city, equate the variable representing total fare with the sum of fare for first kilometer and total fare for the remaining distance. Now, to find the fare for distance covered after one km, multiply the total distance covered with the fare for each kilometer.