Problemas
In January, each of 50 people purchased a 700 washing machine. In February, 10% fewer customers purchased the same washing machine that had increased in price by 10% What was the change in sales from January to February? Select the correct choice below and fill in the answer box within your choice. A. There is no change in the sales from January to February. B. The change in sales from January to February is a square increase. C. The change in sales from January to February is a square decrease.
Solución
Yahirprofessionell · Tutor durante 6 años
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To find the change in sales from January to February, we need to calculate the total sales for each month and then compare them.<br /><br />In January, each of the 50 people purchased a $700 washing machine. So, the total sales for January can be calculated as:<br />\[ \text{Total sales in January} = 50 \times 700 = \$35,000 \]<br /><br />In February, 10% fewer customers purchased the washing machine, which means 90% of the customers from January purchased the machine. The price of the washing machine increased by 10%, so the new price is $700 \times 1.10 = \$770$.<br /><br />Now, let's calculate the total sales for February:<br />\[ \text{Total sales in February} = 0.9 \times 50 \times 770 = \$33,150 \]<br /><br />Comparing the total sales from January to February, we can see that there is a decrease in sales. The change in sales can be calculated as:<br />\[ \text{Change in sales} = \text{Total sales in January} - \text{Total sales in February} = \$35,000 - \$33,150 = \$1,850 \]<br /><br />Therefore, the change in sales from January to February is a $1,850 decrease.<br /><br />So, the correct choice is:<br />C. The change in sales from January to February is a $\$1,850$ decrease.
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