Question

convert 60.0 kg into m³. use 3 significant figures and units. a) using the graph, not the equation. starting at 60.0 kg on the y - axis, then following across to the line, then straight down to the x - axis, gives 1 b) use the equation to solve for x when y = 60.0 g, show your work and use units let y = 60.0 kg. then, solving the equation for the line for x 2 - 3 x = ------------ = 4 5

Explanation:

Since the problem involves converting mass (kg) to volume ($m^{3}$) and using a graph and an equation, it is related to Natural - Science (specifically a physics - related conversion if we assume a density - related context). We will use the Step - by - Step Format. However, the equation for the line is not given in the problem statement. Let's assume the general relationship between mass ($m$), density ($
ho$) and volume ($V$) is $m=
ho V$.

Step1: Identify the relationship

The relationship between mass, density and volume is $m =
ho V$, where $m$ is mass, $
ho$ is density and $V$ is volume. We want to solve for $V$, so $V=\frac{m}{
ho}$. But since we are not given $
ho$, we will assume we can get the relationship from the graph or the (unknown) equation of the line.

Step2: For part (a)

By looking at the graph, starting at 60.0 kg on the y - axis, moving horizontally to the line and then vertically down to the x - axis, we read the value of the volume directly from the x - axis. Without seeing the actual graph values, we can't give a numerical answer.

Step3: For part (b)

Let the equation of the line be $y = kx$ (assuming a linear relationship between $y$ (mass) and $x$ (volume)). We know $y = 60.0$ kg. Then $x=\frac{y}{k}$. But since $k$ is not given, we can't calculate a numerical value. If we assume the density $
ho$ is the slope of the line, then from $y=
ho x$ (where $y$ is mass and $x$ is volume), $x=\frac{y}{
ho}$.

Since we don't have enough information (such as the equation of the line or the density value), we can't give a complete numerical answer. But the general steps for solving are as above.

If we assume we could read from the graph accurately:

Answer:

a) The value read from the x - axis after following the graph - reading procedure.
b) Without the equation (or density value), we can't calculate a numerical answer. But the formula for calculation is $x=\frac{y}{
ho}$ where $y = 60.0$ kg and $
ho$ is the density (or slope of the line in the $y - x$ graph).