Eckhart School is selling candy to raise money for its sports programs. Last year the school raised $480 during a 12-day fundraiser. The school expects this year's daily sales to be in proportion to last year's daily sales. Based on the school's expectations, which of the following statements is correct?
A.
In 3 days, the school will raise $120.
B.
In 7 days, the school will raise $240.
C.
In 13 days, the school will raise $500.
D.
In 22 days, the school will raise $960.
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To find the answer, we need to determine the daily sales for last year's fundraiser and then apply the same proportion to this year's fundraiser.
First, we divide the total amount raised last year ($480) by the number of days (12) to find the average daily sales:
$480 / 12 = $40
So, on average, the school raised $40 per day during last year's fundraiser.
Now, we can apply the same proportion to this year's fundraiser. Since this year's daily sales are expected to be in proportion to last year's daily sales, we can assume that the average daily sales will still be $40.
Using this information, let's evaluate each statement:
A. In 3 days, the school will raise $120.
To find out if this statement is correct, we multiply $40 (average daily sales) by 3:
$40 * 3 = $120.
Therefore, statement A is correct.
B. In 7 days, the school will raise $240.
To find out if this statement is correct, we multiply $40 (average daily sales) by 7:
$40 * 7 = $280.
Therefore, statement B is not correct.
C. In 13 days, the school will raise $500.
To find out if this statement is correct, we multiply $40 (average daily sales) by 13:
$40 * 13 = $520.
Therefore, statement C is not correct.
D. In 22 days, the school will raise $960.
To find out if this statement is correct, we multiply $40 (average daily sales) by 22:
$40 * 22 = $880.
Therefore, statement D is not correct.
Based on the above analysis, the correct statement is A. In 3 days, the school will raise $120.