Respuesta :

Barry found a computer at Staples for $989. A week later, the computer went on sale for $849. The percentage change is 14.156 % decrease

Solution:

Given that Barry found a computer at Staples for $989

A week later, the computer went on sale for $849

To find: percent of change

Percent change is the extent to which a variable gains or loses value. The figures are arrived at by comparing the initial (or before) and final (or after) quantities according to a specific formula.

THE PERCENT CHANGE IS GIVEN AS:

[tex]\text{ percent change } =\frac{\text { final value - initial value }}{\text { initial value }} \times 100[/tex]

If the result is positive, it is percentage increase

If the result is negative, it is percentage decrease

Here initial value = 989 and final value = 849

Substituting the values in above formula,

[tex]\begin{aligned}&\text { percent change }=\frac{849-989}{989} \times 100\\\\&\text { percent change }=-0.14155 \times 100=-14.156 \%\end{aligned}[/tex]

Here negative sign denotes percentage decrease

Thus percentage change is 14.156 % decrease