Question

part 1. basic skills record the correct reading for each measurement. graduated cylinders are in milliliters and lengths are in centimeters.
1.

1. 0.5 cm
2. a rectangular prism is filled to a depth of 0.85 cm. it has a length of 7.50 cm and a width of 14.5 cm. what is its volume? (show your algebra. not your arithmetic.)

part 2 spreadsheet skills

1. when using a spreadsheet to find a fit line, which variable must be inputted in the left - column?

a. the independent variable
b. the dependent variable
c. it doesnt matter because the computer can tell which is which
d. it doesnt matter because it doesnt matter which variable is graphed on which axis.

1. what type of graph must be used when using a spreadsheet to find the line of best fit?

a. scatter plot
b. line graph
c. bar chart
d. pie chart
part 3 primary learning target

1. how is the slope of a line calculated?
2. what are the units of slope? (hint: look at the axes of the example graph.)
3. what do you think the

eal\ value of the slope \should have been?\

1. what is the meaning of the slope? what does the slope of the line tell you about the

eal\ relationship between volume of water in ml and cm³? (you may write on the back if you need to.)

Explanation:

Step1: Recall volume formula for rectangular prism

The volume $V$ of a rectangular - prism is given by $V = l\times w\times h$, where $l$ is the length, $w$ is the width, and $h$ is the height (or depth in this case).

Step2: Substitute given values

Given $l = 7.50$ cm, $w = 14.5$ cm, and $h = 0.85$ cm. So, $V=7.50\times14.5\times0.85$.

Step3: Answer for multiple - choice questions

Question 4

The independent variable is usually inputted in the left - hand column of a spreadsheet when finding a fit line. So the answer is a. The independent variable.

Question 5

A scatter plot is used when finding the line of best fit in a spreadsheet. So the answer is a. Scatter Plot.

Question 6

The slope $m$ of a line is calculated as $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Question 7

The units of the slope are the units of the $y$ - axis divided by the units of the $x$ - axis.

Question 8

This question is open - ended and depends on the context of the example graph, no specific values are given to calculate a "real" value.

Question 9

The slope represents the ratio of the change in the volume of water (in mL or $cm^3$ since $1$ mL=$1$ $cm^3$) to the change in some other related variable (e.g., time, height etc.). If the $y$ - axis represents volume in $cm^3$ and the $x$ - axis represents some other variable, the slope tells us how much the volume changes for a unit change in the other variable. The relationship between mL and $cm^3$ is that they are equivalent units of volume, so if the slope is calculated with volume on one axis and some other variable on the other, it shows the rate of change of volume with respect to that variable.

Answer:

For question 3: $V = 7.50\times14.5\times0.85$
For question 4: a. The independent variable
For question 5: a. Scatter Plot
For question 6: $m=\frac{y_2 - y_1}{x_2 - x_1}$
For question 7: Units of y - axis/Units of x - axis
For question 8: No specific answer given the context
For question 9: Represents rate of change of volume with respect to another variable; 1 mL = 1 $cm^3$ so slope shows volume - related rate of change.