QuestionFind the percent change from $A$ to $B$ and from $B$ to $A$ for $A=\$ 1.23$ and $B=\$ 1.50$ .

Studdy Solution

STEP 1

Assumptions1. The initial amount is $A = \$1.23$ . The final amount is $B = \$1.50$

STEP 2

The percent change from $A$ to $B$ can be calculated using the formula $Percent\, change = \frac{Final\, amount - Initial\, amount}{Initial\, amount} \times100\%$

STEP 3

Now, plug in the given values for the initial amount ( $A$ ) and final amount ( $B$ ) to calculate the percent change from $A$ to $B$ .
$Percent\, change = \frac{\$1.50 - \$1.23}{\$1.23} \times100\%$

STEP 4

Calculate the percent change from $A$ to $B$ .
$Percent\, change = \frac{\$0.27}{\$1.23} \times100\% =21.95\%$ So, if $A$ changes to $B$ , the percent change is approximately21.95%.

STEP 5

Similarly, the percent change from $B$ to $A$ can be calculated using the same formula $Percent\, change = \frac{Initial\, amount - Final\, amount}{Final\, amount} \times100\%$

STEP 6

Now, plug in the given values for the initial amount ( $B$ ) and final amount ( $A$ ) to calculate the percent change from $B$ to $A$ .
$Percent\, change = \frac{\$1.50 - \$1.23}{\$1.50} \times100\%$

STEP 7

Calculate the percent change from $B$ to $A$ .
$Percent\, change = \frac{\$0.27}{\$1.50} \times100\% =18.00\%$ So, if $B$ changes to $A$ , the percent change is18.00%.

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