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Alg 2 Topic 4 lesson 1

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

In the table of values, is y = kx or is y = k/x? (in other words, do you multiply all the x's by the same number to get y, or do you divide some number by all the x's to get the y's?) ​ (a)  

Choose from the below words
y=k/x
y=kx
2.

In this table of values, the y values can be found by dividing some number by the x values. For example, 43=k3\frac{4}{3}=\frac{k}{3}   , 1=k41=\frac{k}{4}   , etc. What is the value of k?

a)

k=43k=\frac{4}{3}  

b)

k=4k=4  

c)

k=1k=1  

d)

k=15k=15  

3.

Why can zero never be in the domain of an inverse variation?

a)

The graph of an inverse variation function will never go through the point​ (0,0).

b)

The graph of an inverse variation function will always be positive.

c)

Division by zero is undefined.

d)

Division by zero is always 0.

4.

A student made a mistake in graphing y=5xy=\frac{5}{x}  . Which two points on his graph are incorrect?

a)

(-5, -1) and (5, 1)

b)

(-2, -4) and (2, 4)

c)

(-5, -1) and (5, 1)

d)

(-5, -1) and (1, 5)

e)

(-1, -5) and (1, 5)

5.

S varies inversely as G. If S is 9 when G is 1.0, what is S when G is 2?

a)

When G is 2, S = 4.5

b)

When G is 2, S is 10

c)

When G is 2, S is 18

d)

When G is 2, S is 40.5

6.

Suppose x and y vary inversely and x = 1 when y = 3. What is the value of y when x=20? Write your answer as an integer or a decimal.

(a)  

7.

The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 16\frac{1}{6}   ampere when the resistance is 54432 ohms. What is the current when the resistance is 74088 ohms?

a)

6.496.49   amps

b)

649\frac{6}{49}   amps

c)

90729072  amps

d)

326,692326,692  amps

e)

251\frac{2}{51}   amps

8.

Which of the following graphs show an inverse relationship between x and y?

a)
b)
c)
9.

The length of time a car travels varies inversely as its speed. Let t=length of time, r=speed, and k= constant of variation. What equation relates t and r?

a)

t=krt=kr  

b)

r=ktr=kt  

c)

r=tkr=\frac{t}{k}  

d)

r=ktr=\frac{k}{t}  

10.

y varies inversely as x such that when x=12, y=9. Find y when x=27.

a)

3

b)

4

c)

9

d)

18