8.16a Slope from graphs
8.16a, Question 1 from Study Guide
B and F
8.16b, Question 1 from Study Guide
slope = -4
y-intercept = -10
8.16c, Question 1 from Study Guide
t, the total cost, is the dependent variable.
The cost depends on the number of ounces.
Also the dependent variable is the one by itself on the left side of the equation.
8.16d, Question 1 from Study Guide
C. y = -1/2x + 3
8.16e, Question 1 from Study Guide
B. y = 4x + 3
I can see the slope should be 4. Also I can put the x-values into the equation and get the corresponding y-values.
For example, if I use the first row. 4(1) + 3 = 7
8.16a, Question 2 from Study Guide
It is a vertical line. There is 0 rise. 0 over any denominator equals 0.
8.16b, Question 2 from Study Guide
B. y = -4x + 5
8.16c, Question 2 from the Study Guide
C. The number of hours she babysits
is the independent variable in this situation.
The total amount she charges depends on how many hours she babysits since she charges an hourly rate.
8.16d, Question 2 from Study Guide
D. y = -5/2x + 5
8.16e, Question 2 from Study Guide
Table B matched y = 3x - 2.
It is the only table with a slope of 3.
I can also plug x-values into the equation.
For example on first row of table B, 3(1)-2 = 1.
8.16a, Question 3 from Study Guide
The slope is positive.
8.16b, Question 3 from Study Guide
slope = -3/4
y-intercept = 3
8.16c, Question 3 from the study guide
s is the independent variable.
P is the dependent variable.
P depends on what you put into the equation for s.
The dependent variable is always by itself on the left side of the equation.
8.16d, Question 3 from Study Guide
Graph A has a slope of -2 and a y-intercept of -1.
Graph C matches the table.
They both have a slope of positive 2.
Also each row in the table represents an ordered pair and each point in that table is on the line in Graph C.
8.16a, Question 4 from Study Guide
A It has a slope of -2.
8.16b, Question 4 from Study Guide
The slope is -2/3.
The y-intercept is 2.
8.16c, Question 4 from Study Guide
C = 12 + 0.50t
t, the number of toppings, is the independent variable.
C, the total cost, is the dependent variable.
The total cost depends on how many toppings you order.
8.16d, Question 4 from Study Guide
y = 1/3x - 3
slope of 1/3
y-intercept of -3
8.16e, Question 4 from Study Guide
Table D matches the graph.
The graph has a slope of -2 and so does Table C.
The graph has a y-intercept of positive 2.
When I take the x's from table C and put them in the equation y=-2x + 2, I get the corresponding y-values.
8.16a, Question 5 from Study Guide
D. The slope of the line is negative because the line is decreasing from left to right.
8.16b, Question 5 from Study Guide
Table B has a slope of -1 and a y-intercept of 4.
8.16c, Question 5 from the Study Guide
B) The amount of money Jerry earns depends on the number of lawns he mows. The number of lawns is the independent variable.
C) The amount of flour Casey has determines the number of cookies she can make. The amount of flour is the independent variable.
8.16d, Question 5 from Study Guide
Teacher will need to check answers. Some possibilities include:
(0, 2); (1, -1); (2, -4); (3, -7)
(-1, 5); (-2, 8), (-3, 11); (-4, 14)
8.16e, Question 5 from Study Guide
Teacher will need to check individual answers.
Equation: y = 4x + 3.
Possible values in table: (0, 3); (1, 7); (2, 11); (3, 15); (-1, -1); (-2, -5); (-3, -9)
Graph should have rise of 4 over run of 1, a positive slope, and cross y-axis at positive 3.