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Question
Write the equation that relates the profit earned (y) in years (x) through some games played.
Write the equation that relates the profit earned (y) in years (x) through some games played.
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Solution
The correct option is B y=20+15x
Let's create the input output table using the points on the given graph.
Time (in years)
0
1
2
3
4
5
Profit earned (in lakhs)
20
35
50
65
80
95
On analyzing the graph, we can say that it represents a linear equation as it is a line with a y-intercept.
In general equation of a straight line passing through y-axis is given by "y = mx + c" where "m" is slope and "c" is y intercept.
We know that slope of a line (m)=Change in yChange in x
=50 − 352 − 1
=15
Value of y-intercept = 20
∴The equation of the line will be:
y=15x+20
Let's create the input output table using the points on the given graph.
| Time (in years) | 0 | 1 | 2 | 3 | 4 | 5 |
| Profit earned (in lakhs) | 20 | 35 | 50 | 65 | 80 | 95 |
On analyzing the graph, we can say that it represents a linear equation as it is a line with a y-intercept.
In general equation of a straight line passing through y-axis is given by "y = mx + c" where "m" is slope and "c" is y intercept.
We know that slope of a line (m)=Change in yChange in x
=50 − 352 − 1
=15
Value of y-intercept = 20
∴The equation of the line will be:
y=15x+20
Suggest Corrections
0
in front of those games that are played indoors. Against the outdoor games, make a 
i. Don’t forget to write the number of players needed for the game. If some other things are also needed to play the game, then write their names as well.