John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:


A graph titled Johns Book Reading shows Number of Weeks on the x axis and Number of Pages Left on the y axis. The scale on the x axis shows numbers from 0 to 6 at increments of 1, and the scale on the y axis shows numbers from 0 to 175 at increments of 25. A straight line joins the ordered pairs 0, 125 and 1, 100 and 2, 75 and 3, 50 and 4, 25 and 5, 0.


Which equation best models the relationship between x and y?


y = −5x + 25

y = −25x + 125

y = −25x + 175

y = −5x + 125

Verified Answer :

Hagrid

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks. The equation best models the relationship between x and y is y = −25x + 175

Equation best models the relationship between x and y is :y = −25x + 175

The correct option is (C).

What is equation?

Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given that :

John reads an equal number of pages of a book every week.

If the number of pages of the book left to read, y, after x weeks.

x-axis                  y-axis

0                           0

1                            25

2                            50

3                           75

4                           100

5                           125

6                           150

7                             175

Then the representation of equation is :

y+25x=175 (total pages is 175).

Hence, y=-25x+175

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