Question

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Answer 1

1) The slope of the trend line is approximately 13.0 g/mL

2) The slope represents the density of the substance

Explanation:

1)

The slope of a line can be calculated using the following equation:

$m=\frac{y_2-y_1}{x_2-x_1}$

where:

$(x_1, y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

The coordinates of the two yellow points are (approximately):

$(x_1,y_1)=(2.9, 4)$

$(x_2,y_2)=(6.2, 47)$

Substituting into the equation, we find the slope:

$m=\frac{47-4}{6.2-2.9}=13.0 g/mL$

2)

The slope of the line represents the density of the substance.

In fact, in this graph we have:

- The variable on the x- axis is the volume, V

- The variable on the y-axis is the mass, m

Density is defined as the ratio between mass and volume:

$\rho = \frac{m}{V}$

Which means, in this case, it is the ratio between the variable on the y-axis (the mass) and the variable on the x-axis (the volume): therefore, this corresponds to the slope of the line, and therefore the slope represents the density of the substance, measured in $g/mL$ (since here the mass is given in grams and the volume in mL).

Learn more about density here:

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