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.

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

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.