Linear Relationships
What is the y-intercept in the following equation? y = 5.2x - 8
-8
Find the volume of a cylinder with a diameter of 6 and height of 11.
310.86 cubic feet
What is the slope of the line
y= 3x -4
3
What is the definition of a function?
For each x value there is one and only one corresponding y value.
What is a proportional relationship?
When the line passes through the origin.
Solve the following equation: y = 3.5x - 2 when x = 7
22.5
Find the volume of a cylinder that has a height of 10 inches and a diameter of 20 inches.
3,140 cubic inches
What is the y-intercept of the equation
y= -1/2x - 4
-4
is the following a function?
(2,3) (-4,5) (-1,9) (-6,0)
Yes because each x value has one and only one y value.
What is a non-proportional relationship?
When the line does not pass through the origin.
What is the slope of the line that passes through the points (5,7) and (9,15)?
2
Find the volume of a sphere that has a diameter of 8 cm.
267.28 cubic cm (note: answers may vary slightly based on rounding)
Which equation represents a non-proportional relationship:
A. y = 3x + 0
B. y = -3x
C. y = 3x + 5
D. y= 1/3x
C
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.
Describe what volume is?
Volume is the amount of space that fits inside of an object.
Solve the following equation y = -8x + 7 when y = -17
x = 3
Find the volume of a cone with a radius of 4.5 inches and a height of 7 inches.
148.37 cubic inches
What is 0.00000598 written in scientific notation?
5.98 x 10 -6
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.
What is a linear relationship?
When the rate of change is constant or stays the same.
Find the solution to the following system of equations: 3x + 5=-4x - 20
-3.57
A small ice cream cone has a radius of 3cm and a height of 10 cm. A large ice cream cone has a radius of 4cm and a height of 12 cm. How much larger is the volume of the large ice cream cone?
2.13 times larger
Solve -(5/8)x + 10 when x = -8
15
What is the slope of y = -10x + 2?
-10
Is Ms. Pena cool?
Yes