Look for a Pattern: In a recent year. One United States dollar was equal to about 82 Japanese yen. How many Japanese Yen are equal to $100? $1,000? $10,000?

Respuesta :

Answer:

[tex]\$100 = 8200\ Yen[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

[tex]\$10000 = 820000\ Yen[/tex]

Step-by-step explanation:

Given

[tex]\$ 1 = 82\ Yen[/tex]

Solving (a): Equivalent of $100

Represent this with x.

So, we have:

[tex]\$100 = x[/tex] and

[tex]\$ 1 = 82\ Yen[/tex]

Cross Multiply:

[tex]x * \$1 = 82\ Yen * \$100[/tex]

[tex]x * 1 = 82\ Yen * 100[/tex]

[tex]x = 8,200\ Yen[/tex]

Hence:

[tex]\$100 = 8200\ Yen[/tex]

Solving (b): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 10

[tex]10 *\$100 = 8200\ Yen * 10[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

Solving (c): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 100

[tex]100 *\$100 = 8200\ Yen * 100[/tex]

[tex]\$10000 = 820000\ Yen[/tex]