Math - Algerba

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9/11/2017 2.2 Assignment-javon simmons

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Student: javon simmons Date: 9/11/17

Instructor: Maureen Baylis Course: Alg 2/Trig Block 2 Assignment: 2.2 Assignment

Identify the constant of variation.

y = x 3 5

The constant of variation is k .= (Type an integer or a fraction.)

Identify the constant of variation.

y x 02 − 5 =

The constant of variation is k .= (Type an integer or a fraction.)

Determine whether y varies directly with x. If so, find the constant of variation and write the function rule.

x y 22 11 28 14 42 21

Does y vary directly with x?

No Yes

What is the constant of variation? Select the correct choice and fill in any answer boxes in your choice below.

A. k (Simplify your answer. Type an integer or a fraction.)=

B. There is no constant of variation.

What is the function rule? Select the correct choice and fill in any answer boxes in your choice below.

A. y = (Simplify your answer. Use integers or fractions for any numbers in the expression.)

B. There is no function rule.

For the function, determine whether y varies directly with x. If so, find the constant of variation and write the function rule.

x y 2 6 6 15 11 17

Select the correct choice below and, if necessary, fill in the answer box within your choice.

A. Yes, y varies directly with x. The constant of variation is k and the function rule is .

=

(Simplify your answers. Use integers or fractions for any numbers in the expression.) B. No, y does not vary directly with x.

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9/11/2017 2.2 Assignment-javon simmons

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Determine whether y varies directly with x. If so, find the constant of variation.

y x 0− 15 =

Does y vary directly with x?

A. Yes, and the constant of variation is k . (Type an integer or a fraction.)=

B. No

Suppose y varies directly with x, and y when x . Find x when y .= 12 = − 3 = 20

x (Simplify your answer.)=

Solve the following variation problem.

The interest on an investment varies directly as the rate of interest. If the interest is $ when the interest rate is47

%, find the interest when the rate is4 %.6.1

The interest is $ . (Round to the nearest cent.)

Make a table of x- and y-values and use it to graph the direct variation equation.

x = − y 1 4

Choose the correct graph of the direct variation below.

A.

-24 24

-24

24

x

y

B.

-24 24

-24

24

x

y

C.

-24 24

-24

24

x

y

D.

-24 24

-24

24

x

y

Write and graph a direct variation equation that passes through the given point.

( , )5 − 4

Write the direct variation equation.

y (Use integers or fractions for any numbers in the expression.)=

Choose the correct graph below.

A.

-20 20

-20

20

x

y

B.

-20 20

-20

20

x

y

C.

-20 20

-20

20

x

y

D.

-20 20

-20

20

x

y

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9/11/2017 2.2 Assignment-javon simmons

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10. If y when x , find y when x , given that y varies directly with x.=

1 2

= 2 = 3

y (Type an integer or a fraction.)=

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