Linear Relationships
Find the volume of a rectangular prism that has the following dimensions: length = 3 feet width = 6 feet height = 10 feet
180 cubic feet
is the following a function? Why or why not? (Note: you must explain why or why not to get the points for this problem) y = 0
Yes because each x value has one and only one y value.
Find the volume of a cylinder that has a height of 10 inches and a diameter of 20 inches. (Use 3.14 for pi)
3,140 cubic inches
The following points are on a line: (4, 2) (4, 3) (4, 4) Is the line a function? Why or why not? You must correctly answer why or why not to get credit for this question.
no, because for the value x = 4 there is more than one possible y value.
Find the volume of a sphere that has a diameter of 8 cm. (Use 3.14 for pi)
267.95 cubic cm (note: answers may vary slightly based on rounding)
What is the definition of a function?
For each x value there is one and only one corresponding y value.
Rearrange the equation so q is the independent variable.
-7q + 12r = 3q - 4r
r = 5/8 q
or
r = 0.625q
A large ice cream cone has a radius of 4cm and a height of 12 cm. What is the volume of the large ice cream cone? (Use 3.14 for pi)
200.96 cubic cm
Is the equation x = 6 linear? Why or why not? Is it a function? Why or why not? Answer all parts of above for credit for this question.
Yes it is linear because it forms a straight line (vertical) No it is not a function because there is more than one y value when x = 6.
A cube is filled with 1,331 cubic mm of air. What are its dimensions?
all sides are 11mm long
What is the slope of x = -10?
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