The product of 2 variables is equal to a constant.
100
In investigation 1, we looked at rectangles with a "fixed area". What does "fixed area" mean?
Fixed area means that the lengths and widths could change but the area stays the same.
100
Draw an example graph of an inverse variation.
Answers will vary. The line is not linear and should not touch the x or y axis.
100
What is the variable that stands for slope in the linear equation: y = mx + b?
slope = m
100
What is the linear equation?
y = mx + b?
200
What is the inverse variation equation?
y = k/x OR x*y = k
200
The fixed area for a certain book can be 88 square inches.
If the length is 4 inches, what is the width? INCLUDE UNITS
W = 88/4 = 22 inches
200
Problem Background: Mr. Cordova traveled to see his grandfather every so often, where did he travel from and where did he travel to? How many miles was his travel? Write in a COMPLETE SENTENCE.
Mr. Cordova traveled from Detroit to Baltimore to see his grandfather which was 500miles.
200
What is the equation to find slope?
change in y/ change in x
200
What does the "b" in the linear equation tell us?
b = y-intercept, where the line crosses the y-axis.
300
How can you find a constant if you were given 2 variables?
Multiply the 2 variables together to find k, the constant.
300
The fixed area for a building can be 100 square feet, what are 3 different lengths and widths that we can use? LABEL lengths and widths!
answers will vary. l*w = 100
300
If Mr. Cordova traveled 500miles by airplane and it took him 1.5 hours, what was the average speed of his flight? INCLUDE UNITS!
s = d/t = 500/1.5 = 333.33 mi/hr
300
Find the slope give the 2 points: (10, 13) and (8, 11)
slope = change in y/change in x = (13-11)/(10-8) = 2/2 = 1
m=1
300
Find the linear equation from the following graph. SEE GRAPH.
y = x + 3
400
In an inverse variation, if y = 2 and x = 95, what is the constant? SHOW WORK
2 * 95 = 190
400
What is an equation the can be used to find lengths (L) and widths (W) for a fixed area of 36 square inches.
W*L = 32 OR W = 32/L OR L = 32/W
400
Write the equation relating time (t) and speed (s) for Mr. Cordova's trip to Baltimore, Maryland.
S = 500/t OR S*t = 500
400
Find the slope give the 2 points: (30,10) and (25, 7)
slope = change in y/change in x = (10-7)/(30-25) = 3/5
m=3/5
400
Find the linear equation from the following graph. SEE GRAPH.
Y = 2X+4
500
In an inverse variation the constant is 35 and the independent variable is 7, what is the dependent variable?
constant = k = 35
independent variable = x = 7
dependent variable = y =k/x = 35/7 = 5
y = 5
500
Find the equation to describe the relationship between width and length for the following table:
length: 1 2 3 4
width :12 6 4 3
12*1=12
2*6=12
3*4=12
4*3=12
w = 12/l OR w*l = 12
500
What equation relates time (t) to average speed (s) for Mr. Cordova's trip to Mackinac Island?
s = 300/t OR s*t=300
500
Michael tried to find the slope from the 2 points: (3, 5) and (1, 2).
His answer was m = 2/3.
Is his answer correct or incorrect? If incorrect, what is the correct answer?
slope = change in y/change in x = (5-2)/(3-1) = 3/2
m=3/2
500
Find the linear equation given the 2 points: (4, 5) and (3, 2)