Question

# Jack’s Mother brings him a bowl of carrots as a snack. At first he does not eat any. Then he eats one at a time until half of the carrots are gone. Then he does not eat anymore. Sketch a graph that shows the number of carrots in the bowl over time ?

Hint:

### Figure out the slope of the graph with respect to each situation given in the question.

## The correct answer is: Line y = which is parallel to x – axis is drawn for some time.

### SOL – Let no of carrots = y

Time taken = x

Let no of carrots in the bowl initially = a

Since Jack didn’t ate any carrot for some time so no of carrots remained same.

Line y = a which is parallel to x – axis is drawn for some time.

Then, he ate 1 carrot at a time till no of carrots become half.

Slope is negative as no of carrots is decreasing over time.

Further, he didn’t ate any carrot, so no of carrots remained same.

Line y = which is parallel to x – axis is drawn for some time.

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