Mathematics
Grade6
Easy
Question
The graph shows the total money earned at a fundraising car wash. Choose the equation that can be used to find the total earned y for the number of cars washed x.
- y = x + 5
- y = x/5
- y = x - 5
- y = 5x
Hint:
An equation represents the relationship between 2 coordinates viz. x & y.
To find the equation that matches the coordinates given in the table, we use 2 point formula of a line i.e.-
(y-y1)/ (x-x1) = (y2-y1)/ (x2-x1)
The correct answer is: y = 5x
GIVEN-
The line on the given graph passes through the points (1,5), (2,10), (3,15) and (4,20)
TO FIND-
Equation that represents the given situation.
SOLUTION-
we observe that (1,5) and (2,10) are 2 points on the given line.
Hence, we use 2 point formula of a line to find its equation.
(y-y1)/ (x-x1) = (y2-y1)/ (x2-x1)
∴ (y-5)/ (x-1) = (10-5)/ (2-1)
∴ (y-5)/ (x-1) = 5/1
∴ 1 (y-5) = 5 (x-1) ...................... (Cross multiplying)
∴ y - 5 = 5x - 5
∴ y = 5x - 5 + 5 ....................... (Adding both sides with 9)
∴ y = 5x
FINAL ANSWER-
Option 'd' i.e. 'y = 5x' is the correct answer to the given question.
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