Inverse variation - Relations and Functions

Inverse variation

Lessons

Notes:

In this lesson, we will learn:

Identifying Indirect Variation Equations

Identifying Indirect Variation Graphs

Evaluating Indirect Variations

Word Problem: Application of Indirect Variations

Intro Lesson
1.
Identifying Indirect Variation Equations
Classify the following variations. (Direct or Indirect).
2.
Identifying Indirect Variation Graphs
3.
Evaluating Indirect Variations
Find the missing variable.

Inverse variation

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Intro Lesson: a

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Intro Lesson: b

Lesson: 1a

Lesson: 1b

Lesson: 1c

Lesson: 1d

Lesson: 2a

Lesson: 2b

Lesson: 3a

Lesson: 3b

Lesson: 4

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Don't just watch, practice makes perfect

Do better in math today

Don't just watch, practice makes perfect

Lessons

Notes:

In this lesson, we will learn: Identifying Indirect Variation Equations Identifying Indirect Variation Graphs Evaluating Indirect Variations Word Problem: Application of Indirect Variations

Intro Lesson

a)

What is an Inverse Variation?

b)

How to solve inverse variation problems?

1.

Identifying Indirect Variation Equations Classify the following variations. (Direct or Indirect).

a)

b=−8ab = -8a b=−8a

b)

m=n5m = \frac{n}{5} m=5n​

c)

p=−2qp = \frac{-2}{q} p=q−2​

d)

s=17×ts = \frac{1}{7} \times ts=71​×t

2.

Identifying Indirect Variation Graphs

a)

b)

3.

Evaluating Indirect Variations Find the missing variable.

a)

y yy varies inversely with xxx. If y=22y=22y=22 when x=−17x=-17x=−17, find yyy when x=11x=11x=11.

b)

y yy varies inversely with xxx. If y=30y=30y=30 when x=18x=18x=18, find xxx when y=5y=5y=5.

4.

Word Problem: Application of Indirect Variations The time it takes to fly from Canada to China varies inversely as the speed of the plane. If the journey takes 13 hours at 950 km/h, how long would it take at 650 km/h?

Inverse variation

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.

or

In this lesson, we will learn:

Identifying Indirect Variation Equations

Identifying Indirect Variation Graphs

Evaluating Indirect Variations

Word Problem: Application of Indirect Variations

Identifying Indirect Variation Equations
Classify the following variations. (Direct or Indirect).

$b = -8a$

$m = \frac{n}{5}$

$p = \frac{-2}{q}$

$s = \frac{1}{7} \times t$

Evaluating Indirect Variations
Find the missing variable.

$y$ varies inversely with $x$ . If $y=22$ when $x=-17$ , find $y$ when $x=11$ .

$y$ varies inversely with $x$ . If $y=30$ when $x=18$ , find $x$ when $y=5$ .

Word Problem: Application of Indirect Variations
The time it takes to fly from Canada to China varies inversely as the speed of the plane. If the journey takes 13 hours at 950 km/h, how long would it take at 650 km/h?