Question

need help fast!!!!
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?
Box of Books
10
9
f(x) = 0.5x + 1.5
f(x) = 0.75x + 2
f(x) = 1.5x + 0.5
f(x) = 2x + 0.75
O
Weight of box (lbs)
ch
4
w
1
9 10 x
2 3 4 5 6 7 8
Number of books​

Answer 1

Answer:

C or option three, f(x) = 1.5x + 0.5

Step-by-step explanation:

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Answer 2

The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

What is the Equation of straight line?

The general equation of a straight line is y = mx + c

What is Slope of the line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate

Here,

Consider two points in the lines

(3,5) and (5,8)

Slope of the line = $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

= $\frac{8-5}{5-3}$

=1.5

From the graph y intercept is 0.5

Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

Learn more about Equation of straight line and Slope of the line here

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