Question

Nicholas started with 4 poems in his journal. Then he started writing 1 poem each day. Which of the following graphs represents Nicholas's poem writing

Answer 1

The graph of this function would have a y-intercept at 4 and would go up 1 unit for every 1 unit it goes right.

Answer 2

Suppose x represents the number of the days, and y represents total number of the poem Nicolas write in x days.

According to the question he started with 4 poems in his journal. Then he started writing 1 poems each day.

Thus, the relation that describes the above situation is,

y = 4 + x

The x -intercept of the above line is (-4,0)

And, the y-intercept of the line is (0,4)

Also, if x = 1 y = 5

if x = 2 y = 6

If x = 3 y = 7

And, if x = 4 , y = 8

Thus, the points by which the line will pass are,

(1,5), (2,6) , (3,7) and (4,8)

By the above information we can plot the graph of the line, y = 4 + x .