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Direct Variation
Slope
Tangent Ratio
Is this Direct Variation?
Mix It Up
100
y = 12 when x = 4. Find y when x = 7
What is y = 21
100
a number that describes both the direction and the steepness of the line.
What is the definition of slope
100
opposite/adjacent
What is the tangent ratio
100
Does this represent direct variation M 3 4 5 6 7 N 6 8 10 12 14
What is an example of direct variation
100
relationship between two numbers
What is a ratio
200
y = 80 when x = 8. Find y when x = 12.
What is y = 120
200
Rise/Run
What is Slope
200
There is a bike ramp at the park. The incline of the ramp is 49°. The height of the ramp is 0.8m. What is the distance Colin will travel on the ramp with his bike?
What is x = 0.70 cm
200
Explain if this is direct variation X 1 2 3 4 5 Y 1 4 9 12 15
What is not an example of direct variation
200
A transformation that grows or shrinks a polygon by a given proportion about a center point
What is dilation
300
y = 51 when x = 3. Find y when x = 5.
What is y = 85
300
The slope of (19, -2) and (-11, 10)
What is -2/5
300
Triangle JKL has the following lengths: JK (leg)= 4cm KL(leg)= 5cm Find the tangent of J
What is 1.25
300
One variable (A) varies directly as the other (C). Find the missing numbers x and y. Write the formula which relates the variables. A 1 2 x C 3 y 15
What is x = 5 and y = 6
300
selection of a subset of individuals from within a statistical population
What is sampling
400
y = 6 when x = 12. Find y when x = 14.
What is y = 7
400
The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?
What is y = 15x + 95; $1250
400
Triangle ABC has the following lengths: AC (leg)=8cm BC(leg)= 15cm Find the Tangent of A
What is tan A = 1.875
400
A salesman's commission varies directly as his sales. Write the formula relating this situation and denote the variables. If the commission is $100 for $1000 in sales, find the commission for $1750 in sales.
What is $175
400
measure or estimation of likelihood of occurrence of an event
What is probability
500
The number (b) of bolts a machine can make varies directly as the time (t) it operates. It can make 6578 bolts in 2 hours. How many bolts can it make in 5 hours?
What is 16,445 bolts
500
In 1980 the average price of a home in Brainerd County was $97,000. By 1986 the average price of a home was $109,000. Write a linear model for the price of a home, P, in Brainerd County as a function of the year, t. Let t = 0 correspond to 1980.
What is P=2000t+97,000
500
Show a triangle with a tangent a that equals 1/2
What is any illustration of a ratio where the opposite side of a and the adjacent side of a will reduce to 1/2
500
The distance an object, a, drops from rest in freefall varies directly with the square of the time, t. If a varies directly as t2, and a = 12 when t = 2, find a when t = 3.
What is 27
500
special measurements of a right triangle
Trigonometric Ratios