Variable Relationships

Practice Questions

Algebra II › Variable Relationships

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1

varies directly with $x^{2}$ . If , what is if ?

2

varies directly with $x^{2}$ . If , what is if ?

3

The output of a factory in units per day versus the number of employees working is plotted on the graph below, with the following data points collected:

(Workers, Units of output per day):

$\left(100,1300\right)$

$\left(75,1050\right)$

$\left(200,2300\right)$

$\left(225,2550\right)$

Assuming a linear relationship, interpolate to find how many units will be made per day if workers are present.

Linear_interp

4

varies inversely with $x^{3}$ . If , then what is equal to when ?

5

The output of a factory in units per day versus the number of employees working is plotted on the graph below, with the following data points collected:

(Workers, Units of output per day):

$\left(100,1300\right)$

$\left(75,1050\right)$

$\left(200,2300\right)$

$\left(225,2550\right)$

Assuming a linear relationship, interpolate to find how many units will be made per day if workers are present.

Linear_interp

6

varies inversely with $x^{3}$ . If , then what is equal to when ?

7

What is the next number in this sequence: 8, 27, 64, 125 ?

8

What is the next number in this sequence: 8, 27, 64, 125 ?

9

Find the next 2 numbers in this sequence: 33, 46, 72, 111

10

Find the next 2 numbers in this sequence: 33, 46, 72, 111

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