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Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300...

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Jeopardy Jeopardy Slope Slope- Intercept Form Direct Variation Function Form A Mixture of Things 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500
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Page 1: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

JeopardyJeopardySlope Slope-Intercept

FormDirect

VariationFunction

FormA Mixture of

Things

100 100 100 100 100

200 200 200 200 200

300 300 300 300 300

400 400 400 400 400

500 500 500 500 500

Page 2: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

100

Find the value of x so that the line passing through

the two points is perpendicular to the line.

(-5, -2) and (0, 0)

(1, 6) and (x, 7)

Page 3: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

200

Find the value of x so that the line passing through the two points is parallel

to the line.

(-2, 8) and (-4, -6)

(-5, x) and (0, -3)

Page 4: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

300

Find the value of x so that the line passing through

the two points is perpendicular to the line.

(-2, -7) and (3, 8)

(-3, -6) and (2, k)

Page 5: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

400

Find the value of x so that the line passing through

the two points is parallel to the line.

(-2, x) and (4, -5)

(-2, 3) and (8, -2)

Page 6: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

500

Find the value of x so that the line passing through

the two points is perpendicular to the line.

(-3, 9) and (-1, 1)(-2, 10) and (k, 4)

Page 7: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

100Write the equation in slope-intercept

form. Then, identify the slope and y-intercept.

5y – 3x = 12

Page 8: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

200

Write the equation in slope-intercept form. Then, identify

the slope and y-intercept.

-6x – 4y = 8

Page 9: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

300A family of squirrels takes up

residence in the roof of your house. You call a company to get rid of the

squirrels. The company traps the squirrels and then releases them in a wooded area. The company charges C = 30 + 15s where C is the total cost

and s is the number of squirrels. Graph the equation. Identify the

domain and range.

Page 10: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

400A family of squirrels takes up residence in the roof of your house. You call a company to get

rid of the squirrels. The company traps the squirrels and then releases them in a wooded

area. The company charges C = 30 + 15s where C is the total cost and s is the number

of squirrels. What do the slope and y-intercept mean?

Page 11: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

500A new toilet model has two different flush settings

in order to conserve water. One setting uses 1.6 gallons of water per flush and the other setting

uses 0.8 gallons of water per flush. The total amount w (in gallons) of water used in the first setting is given by the equation w = 1.6f where f is the number of times the toilet is flushed. The

total amount of water used in the second setting is given by the equation w = 0.8f. Graph both

equation in the same coordinate plane. What do the slopes and the w-intercepts mean in this

situation?

Page 12: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

100

Is 3y – 2x = 6x an example of direct variation? If it is,

why and what is the constant of variation?

Page 13: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

200

Is xy + 4 = 0 an example of direct variation? If it is,

why and what is the constant of variation?

Page 14: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

300

Y varies directly with x. If x is 1/5 when y is -1,

what is x when y is 8?

Page 15: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

400

Y varies directly with x.

If x is 3/4 when y is 2, what is y when x is 9?

Page 16: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

500

X varies directly with y.

If x is 8 when y is -3, what is x when y is -4?

Page 17: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

100

Evaluate the function f(x) = 8.5 – 10x

when x = -3.

Page 18: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

200

Find the value of x so that f(x) = -39.6 for

the function

f(x) = 10x – 8.1

Page 19: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

300

How does the function g(x) = x + 4 differ from

the parent function

f(x) = x?

Page 20: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

400

How does the function g(x) = 4x

differ from the parent function f(x) = x?

Page 21: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

500You join a gym that charges a $75 initial sign up fee and $35 a month for a membership. The total cost of the membership can be modeled by f(x) = 35x +75

where x is the number of months of the membership. After some time, you decide to rent a locker that costs $50 for the entire year. A function for the total cost of the membership with the locker

rental is g(x) = 35x +125. Graph both functions. How is the graph of g(x) related to the graph of f(x)?

Page 22: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

100Mary is taking an exam consisting of multiple

choice and essay problems. It takes Mary 1 minute to complete a multiple choice

problem and 5 minutes to complete an essay problem. She has 1 hour to complete the test. Using x to represent the number of multiple choice problems and y to represent

the number of essay problems, write an equation to show the relationship between how many multiple choice problems and

how many essay problems Mary can complete in 1 hour.

Page 23: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

200Mary is taking an exam consisting of multiple choice

and essay problems. It takes Mary 1 minute to complete a multiple choice problem and 5 minutes to

complete an essay problem. She has 1 hour to complete the test. Using x to represent the number of multiple choice problems and y to represent the

number of essay problems, write an equation to show the relationship between how many multiple choice problems and how many essay problems

Mary can complete in 1 hour. What is the x-intercept and what does it mean in this situation?

Page 24: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

300Mary is taking an exam consisting of multiple choice

and essay problems. It takes Mary 1 minute to complete a multiple choice problem and 5 minutes to complete an essay problem. She has 1 hour to

complete the test. Using x to represent the number of multiple choice problems and y to represent the

number of essay problems, write an equation to show the relationship between how many multiple choice problems and how many essay problems

Mary can complete in 1 hour. What is the y-intercept and what does it mean in this situation?

Page 25: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

400Mary is taking an exam consisting of multiple choice and essay

problems. It takes Mary 1 minute to complete a multiple choice problem and 5 minutes to complete an essay problem. She has 1 hour to complete the test. Using x to represent the number of multiple choice problems and y to represent the number of essay problems, write an equation to show the relationship between how many multiple choice problems

and how many essay problems Mary can complete in 1 hour. What is the domain and range?

Page 26: Jeopardy Slope Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 200 300 400 500.

500

Find the slope of (-2, 3) and

(4, -1). Then, find the slope of

(-2 in, 3 in) and (4 in, -1 in). What do you notice?


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