Question

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 are correct? Select ALL that apply.

In 3 days, the school will raise $120.

In 7 days, the school will raise $240.

In 11 days, the school will raise $440.

In 13 days, the school will raise $500.

In 16 days, the school will raise $640.

In 22 days, the school will raise $960.

Answer 1

By calculating the daily sale rate of the previous year's fundraiser at Eckhart School and multiplying it by the number of days in this year's fundraiser, we can identify which of the given statements about expected earnings are correct. Three statements are true, and three are false.

Step-by-step explanation:

To determine if the statements about the fundraising expectations at Eckhart School are correct, we need to first calculate the daily sales amount from last year. The school raised $480 over 12 days, so we divide the total amount raised by the number of days of the fundraiser.

$480 ÷ 12 days = $40 per day

Now, let's evaluate each statement by multiplying the daily sales amount by the number of days specified in the statements:

In 3 days, the school expects to raise $40 x 3 = $120. True

In 7 days, the school expects to raise $40 x 7 = $280. The statement is False because it states $240 instead of $280.

In 11 days, the school expects to raise $40 x 11 = $440. True

In 13 days, the school expects to raise $40 x 13 = $520. The statement is False because it states $500 instead of $520.

In 16 days, the school expects to raise $40 x 16 = $640. True

In 22 days, the school expects to raise $40 x 22 = $880. The statement is False because it states $960 instead of $880.

The correct statements based on the school's expectations are: In 3 days, the school will raise $120; In 11 days, the school will raise $440; and In 16 days, the school will raise $640.

Answer 2

Statements 1, 3, and 5

Step-by-step explanation:

$480 = 12 days

To find daily sales, we want to figure out how much is made in 1 day. To do this, we can divide both sides by 12 to keep both sides equal but turn 12 days into 1. Thus, we have

$480/12 = 12/12 days

$40 = 1 day

We can go through the statements one by one.

1. $120 = 3 days

Does this match up with $40 = 1 day?

Multiply $40 = 1 day by 3 on both sides to compare the two dollar amounts. We get

$120 = 3 days.

The statements match up so this is correct

2. $240 = 7 days

Multiply $40 = 1 day by 7 on both sides

$280 = 7 days

This is false

3. $440 = 11 days

Multiply both sides of $40 = 1 day by 11

$440 = 11 days

This is correct

4. $500 = 13 days

Multiply both sides of $40 = 1 day by 13

$520 = 13 days

This is incorrect

5. $640 = 16 days

Multiply both sides of $40 = 1 day by 16

$640 = 16 days

This is correct

6. $960 = 22 days

Multiply both sides of $40 = 1 day by 22

$880 = 22 days

This is incorrect