Question

Which statement has the correct interpretations of this graph? select EACH correct answer.
A. There are 3g of dietary fiber in every 2 tomatoes

B. There are 2g if dietary fiber in every 3 tomatoes

C. There are 1.5g of dietary fiber per tomato

D. There are 0.7g of dietary fiber per tomato

Answer 1

Answer:

A and C because the dot is placed at (3,2) (g, tomatoes) and half of that is (1.5,1)

Answer 2

The slope of the line is 3/2, this means that There are 3g of dietary fiber in every 2 tomatoes

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the dietary fiber in gram for x tomatoes.

The graph passes through point (2, 3) and (6, 9). Hence:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{9-3}{6-2} (x-2)\\\\y-3=\frac{3}{2}x-3\\\\y=\frac{3}{2}x$

From the graph, the slope of the line is 3/2, this means that There are 3g of dietary fiber in every 2 tomatoes

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