Question 39

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waecmaths question: 

x

0

2

4

6

y

1

2

3

4

 

The table is for the relation y =mx + c where m and c are constants. Use it to answer 39 to 40

39. What is the equation of the line described in the table?

Option A: 

$y=2x$

Option B: 

$y=x+1$

Option C: 

$y=x$

Option D: 

$y=\tfrac{1}{2}x+1$

waecmaths solution: 

$\begin{align}  & y=mx+c \\ & \text{when }x=0,\text{ }y=1 \\ & 1=m(0)+c \\ & c=1 \\ & \text{when }x=2,\text{ }y=2 \\ & y=mx+c \\ & 2=2m+1 \\ & m=\frac{1}{2} \\ & \text{The equation becomes} \\ & y=\tfrac{1}{2}x+1 \\\end{align}$

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