Lesson 35
Each input maps to only one output, and each output is different from any other output.
What is one to one when each input maps to one unique output.
A variable that determines the value of another variable
What is an independent variable
A graph can be used to determine if a relation is a function by using the ____
What is a vertical line test?
The __ is the horizontal number line on a coordinate plane, and the y-axis is the vertical number line on a coordinate plane.
What is the x axis
Joseph is buying movie tickets that cost $12 each. The total cost depends on how many tickets he buys. What is the independent variable?
What is the number of movies tickets purchased?
A relationship between variables (typically x and y) with exactly one output for every input.
What is a function?
All possible values of the independent variable of a relation can be referred to as the
What is the domain/ x value?
Any vertical line drawn on the graph (squiggly line ) passes through the relation in only one place, so this relation is a function. The graph (does/does not) pass the vertical line test.
What is does?
____ is a pair of numbers (x,y) used to show the position of a point on a coordinate plane.
Whats is an ordered pair?
An ice cream shop charges $3.50 per cone. The total price changes based on how many cones are ordered? What is the independent variable?
What is the number of Ice cream cones ordered
When at least one input maps to multiple outputs and at least one output has multiple inputs.
What is the relation many to many
What is the amount of money jeny spends on th number of bags she purchases.
Any vertical line drawn on the graph passes through the relation in only one place. This graph ( n line) passes the vertical line test, and the relation is/is not a function.
What is is?
___ are the values x and y that make up an ordered pair.
What is coordinates?
A school orders notebooks in packs of 5 to recieve a discount.The total cost changes depending on how many packs are ordered. WHat is the dependent variable?
What is the total cost of the notebooks?
Emma and Noah are writing the number one hundredth in decimal form.
Emma says that one hundredth is 0.001 because there should be three zeros after the decimal point.
Noah says that one hundredth is 0.01 because the 1 is in the hundredths place.
Who is noah? 0.01
Greta is planning snacks for a small event. Bags of trail mix are on sale for $2.49 each when purchased in packs of six. She estimates she’ll need between six and 24 bags and plans to buy a multiple of six to get the sale price. What is the independent variable?
What is the number of bags of trail mix Greta buys?
Hours Studied (x) Pages Read (y)
1 12
2 24
3 36
4 48
What is the pattern?
What is multiples of 12
Which quadrant is point x (5,8) on a normal graph
What is Quadrant 1?
A city charges $22 for the first 2,000 gallons of water and$ 0.004 per gallon after that. A household uses between 2,000 and 9,000 gallons per month. What is the dependent variable?
What is the monthly water bill
Maria says that 10−3=0.000110^{-3} = 0.000110−3=0.0001 because the exponent −3-3−3 means there are three zeros and then a 1 after the decimal point.
Leo says that 10−3=0.00110^{-3} = 0.00110−3=0.001 because the decimal point moves three places to the left, making the 1 the third digit after the decimal point.
What is Leo? 10 to the power of negative 3 = 0.001
Haley is buying granola bars for a picnic. The store sells them for $1.75 each, but if she buys packs of 8, she gets a 10% discount on the total price of those packs. She estimates she’ll need between 8 and 32 bars and plans to buy a multiple of 8 to get the discount. Whats the independent variable?
What is the number of granola bars Haley buys (in multiples of 8).
Hours Studied (x) Pages Read (y)
1 12
2 24
3 36
4 48
Based on this how many pages would Jen have read if she spent 7 hours studying
Which quadrant is the point (−7,−3) in on a regular graph?
What is quadrant 3?
A restaurant has fixed weekly costs of $2,400 and variable food costs of $6.75 per meal sold. Each meal sells for $19. What is the independent variable and dependent variable
What is the number of meals sold and the weekly profit?