Question

The amount of time a person has to wait to be seen in a health clinic can be modeled by the equation 5h = x/4 + 2, where h is the wait time in hours, and x is the number of patients ahead in line.

What is the predicted wait time if there are 8 patients ahead in line?​

Answer 1

Answer:

0.8 hours = 48 minutes

Step-by-step explanation:

Given equation:

$5h=\dfrac{x}{4}+2$

where:

• h = wait time (in hours)
• x = number of patients ahead in line

To find the predicted wait time if there are 8 patients ahead in line, substitute x = 8 into the equation and solve for h:

$\implies 5h=\dfrac{8}{4}+2$

$\implies 5h=2+2$

$\implies 5h=4$

$\implies \dfrac{5h}{5}=\dfrac{4}{5}$

$\implies h=0.8\:\:\sf hours$

Therefore, the predicted wait time is 0.8 hours.

To convert this into minutes, multiply by 60 (since there are 60 minutes in an hour):

⇒ 0.8 hours = 0.8 × 60 = 48 minutes