Question

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line WRITE a proportion

Answer 1

32 minutes

Explanation:

According to the scenario, computation of the given data are as follows,

For 150 people, waiting time = 20 minutes

So, for 1 minute waiting time, number of people = 150 ÷ 20

= 7.5 people per minute

So, for 240 people, waiting time = 240 ÷ 7.5

= 32 minutes.

So, the waiting time when 240 people are in line is 32 minutes.

Answer 2

Answer: The waiting time will be 32 minutes when 240 people in line.

Explanation:

Let us assume that the waiting time is directly proportional to the number of people in the queue.

Equation of direct proportion between variables x and y :
`(x_1)/(y_1)=(x_2)/(y_2)`

Put
`x_1=20,\ y_1=150,\ y_2=150` to find
`x_2`.

`(20)/(150)=(x_2)/(240)\\\\\Rightarrow\ x_2=(20)/(150)*240\\\\\Rightarrow\ x_2=32`

Hence, the waiting time will be 32 minutes when 240 people in line.