Question
Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.
- m=50 + w
- w= 50m
- w= 50 + m
- m= 50 – w
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: w= 50m
GIVEN-
x1 = 1, y1 = 50, x2 = 2, y2 = 100, x3 = 3, y3 = 150
TO FIND-
Equation that matches the given coordinates
SOLUTION-
we observe that (1,50) and (2,100) 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-50)/ (x-1) = (100-50)/ (2-1)
∴ (y-50)/ (x-1) = 50/1
∴ 1 (y-50) = 50 (x-1) ...................... (Cross multiplying)
∴ y - 50 = 50x - 50
∴ y = 50x - 50 + 50 ....................... (Adding both sides with 50)
∴ y = 50x
In the given sum, x coordinates are represented by m and y coordinates by w
∴ w = 50m
FINAL ANSWER-
Option 'b' i.e. 'w = 50m' is the correct answer to the given question.
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