Question

The value of gold is always changing. Last year, Max had a 0.2-ounce piece of gold appraised at $148.96. This year he had a 0.24-ouncepiece of gold appraised at $222.84. How much had the price of gold per ounce changed between Max's appraisals?O A. $73.88

Answer 1

The value of gold is always changing. Last year, Max had a 0.2-ounce piece of gold appraised at $148.96. This year he had a 0.24-ounce

piece of gold appraised at $222.84. How much had the price of gold per ounce changed between Max's appraisals?

O A. $73.88​

last year

w=0.2 ounces

price= $148.96

this year

w=0.24 ounces

price=$222.84

Let's find the price per ounce for the last year

`\begin{gathered} w=0.2\text{ ounces} \\ \text{price}=148.96 \\ \text{price per ounce=}(148.96)/(0.2)=744.8\text{ per ounce} \\ \end{gathered}`

Now for this year

`\begin{gathered} w=0.24\text{ ounces} \\ \text{price}=222.84 \\ \text{the price per ounce is=}(222.84)/(0.24)=928.5\text{ per ounce} \end{gathered}`

Now, the change

`\begin{gathered} \text{change =final pric- initial price} \\ \text{change}=928.5\text{ \$/ounce -744.8 per ounce} \\ \text{change}=183.7\text{ \$/ounce} \end{gathered}`

so the answer is $183.7