Question

The graph shows the relationship between the weight of a box and the number of books added to the box.

What function represents the weight of a box based on x, the number of books?

A. f(x) = 0.5x + 1.5
B. f(x) = 0.75x + 2
C. f(x) = 1.5x + 0.5
D. f(x) = 2x + 0.75

Answer 1

Answer:

C. f(x) = 1.5x + 0.5

Step-by-step explanation:

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Answer 2

y = 1.5x + 0.5, The given option C is correct.

Step-by-step explanation:

The graph of Weight of box (lbs) vs Number of Books in it passes through the ordered pairs (1,2) and (3,5) where x-coordinate represents the number of books and the y-coordinate represents the weight of the box in pounds.

So, the equation that models the relation can be calculated from those two points.

And it is $\frac{y - 5}{5 - 2} = \frac{x - 3}{3 - 1}$

⇒ y - 5 = 1.5 (x - 3)

⇒ y = 1.5x + 0.5

Hence, the given option C is correct. (Answer)