something (a quantity) that changes. Letters are often used to represent them in equations.
100
Which is the x-axis? The y-axis?
horizontal - x vertical - y
100
What is an equation?
A math sentence. A rule containing variables that shows a relationship between those variables. Is written in numbers letters and symbols.
100
Let n be the number of people. Let c be the total cost of dinner. Dinner costs $5. c = 5n
If there are 10 people there. How much will dinner cost?
c = 5 X 10 = 50 dollars
200
What is an equation?
A math sentence. A rule containing variables that shows a relationship between those variables. Is written in numbers letters and symbols.
200
What is an advantage (good thing) about using a graph?
answers will vary
200
What is a rule?
A sentence that tells how to find the value of a variable or describe a predictable pattern in the relationship of 2 variables.
200
The equation d=2t describes the distance in meters (d) a racing team travels in seconds (t). How long does it takes the team to go 100 meters?
50 seconds
300
What is a pattern?
A change that happens in a predictable or expected way. (like the pattern you see on a checkerboard - red, black, red, black)
300
On which axis do you put the dependent variable? The independent variable?
y-axis - dependent x-axis - independent
300
The distance a car travels is equal to its speed times the hours driven. Write an equation for a car that is traveling at 55 mph
d= 55h
300
If d = 15t, what is the value of d when t=4
d = 15X4 = 60
400
Give an example of a dependent and independent variable. What is the difference between the two?
The dependent variable depends on or happens because of the independent variable. Example - The amount of money you make depends on the number of hours you work.
400
Describe the steps in making a graph.
Choose variables, decide which is independent and dependent, label the graph, put variables on correct axis, put in the data points, give the graph a title
400
The cost of a trip is $40 for the bus and $10 for each student that goes. What is the equation for this situation?
T= 40 + 10n
400
If y= 12+35x, what is the value of y when x=10
y = 12 + (35 x 10) = 12 + 350 = 367
500
What is an interval? Give an example of an interval we have created during class.
The equal spacing used when making a graph.
500
How do you chose your intervals when making a graph?
Check to see what the biggest number is I will need to show, divide it into equal parts, count by easy parts (5s, 10s, 20s, etc.)
500
What are the steps for writing an equation?
Decide on the variables, decide which is the independent and which is the dependent variable, write a rule, choose letters to represent your variables, change your rule into letters numbers and symbols.
500
Bob sells tamales for $10 per dozen. His cost for making the tamales is $4 per dozen. If 7 people buy his tamales, how much money does he make? What is the equation for this?
p = 10n - 6n or p=4n Bob makes $28.
500
Describe the steps to estimate using a graph
Go to the axis, put a point, draw a line from the point to the graph line, put a point, draw a line from that point to the other axis, read the number.