Question

Student Council sells bottled water at the cheerleading competition as shown in the table. Determine if each statement is true or false.

Cases Sold: 3 6
time(min): 20 40

They sell 27 cases in 3 hours.

They sell 12 cases in 1 hour and 20 min.

They sell 18 cases in 2 hours.

They sell 24 cases in 2 hours and 40 min.

They sell 36 cases in 3 hours and 20 min.

Answer 1

1. False

2. True

3. True

4. True

5. False

Explanation:

1. False - they sell 3 cases in 20 min as shown in the table

2. True - If they sold 3 cases in 20 min and 6 cases in 40 min, then they would sell 9 cases in an hour, and 12 cases in 1 hour and 20 min

3. True - Building off of our answer in 2, student council would have sold 15 cases in 1 hour and 40 min, and 18 in 2 hours

4. True - In 40 min, student council sold 6 cases, and in 2 hours, 18 cases, so in 2 hours and 40 min, they would have sold 24 cases

5. False - In one hour - 9 cases. In 2 hours - 18 cases. In 3 hours - 27. And in 20 min - 3 cases, so they would sell 30 cases in 3 hours and 20 min.

Answer 2

A) True

B) True

C) True

D) True

E) False

Explanation:

We are given the following information in the question.

Cases sold: 3 6

Time(min): 20 40

Thus, from the above information we can say that 3 cases are sold in every 20 minutes.

Formula:

`\text{Cases sold} = \frac{\text{Total time}}{20}* 3`

A) There are 180 minutes in 3 hours.

Cases sold =
`(180)/(20)* 3 = 27`

Hence, the statement is true.

B) There are 80 minutes in 1 hour 20 minutes.

Cases sold =
`(80)/(20)* 3 = 12`

Hence, the statement is true.

C) There are 120 minutes in 2 hour.

Cases sold =
`(120)/(20)* 3 = 18`

Hence, the statement is true.

D) There are 160 minutes in 2 hour 40 minutes.

Cases sold =
`(160)/(20)* 3 = 24`

Hence, the statement is true.

E) There are 200 minutes in 3 hour 20 minutes.

Cases sold =
`(200)/(20)* 3 = 30`

Hence, the statement is false.