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

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

Step-by-step 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 :  $\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

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

$\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32$

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

Answer 2

Answer:

32 minutes

Step-by-step 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.