the chart below shows one stores sales of computers, listed by model.\nmay\njune\nif the changes in sales…

the chart below shows one stores sales of computers, listed by model.\nmay\njune\nif the changes in sales between may and june continue at the same rate, what will be the percent change in total computer sales from june to july? (round your answer to the nearest tenth.)\na. 17.1%\nb. 20.7%\nc. 34.0%\nd. 43.2%

the chart below shows one stores sales of computers, listed by model.\nmay\njune\nif the changes in sales between may and june continue at the same rate, what will be the percent change in total computer sales from june to july? (round your answer to the nearest tenth.)\na. 17.1%\nb. 20.7%\nc. 34.0%\nd. 43.2%

Answer

Explanation:

Step1: Calculate total sales in May

$262 + 282+223 + 135+148=1050$

Step2: Calculate total sales in June

$173+184 + 148+153+212 = 870$

Step3: Calculate the percent - change from May to June

Percent change formula is $\frac{\text{New}-\text{Old}}{\text{Old}}\times100%$. Here, $\text{Old}=1050$, $\text{New}=870$. So the percent change from May to June is $\frac{870 - 1050}{1050}\times100%=\frac{- 180}{1050}\times100%\approx - 17.14%$

Step4: Assume the same percent - change from June to July

Let the total sales in July be $x$. We know that $\frac{x - 870}{870}\times100%=-17.14%$. Then $x-870=870\times(- 0.1714)$. So $x = 870\times(1 - 0.1714)=870\times0.8286 = 721.8$ The percent change from June to July using the formula $\frac{\text{New}-\text{Old}}{\text{Old}}\times100%$ with $\text{Old}=870$ and $\text{New}=721.8$ is $\frac{721.8 - 870}{870}\times100%=\frac{-148.2}{870}\times100%\approx - 17.1%$

Answer:

a. $17.1%$