Question

Medication is prescribed in 6 out of every 10 hospital emergency room visits that involve an injury. If a large urban hospital had 930 emergency room visits involving an injury in the past​ month, how many of these visits would you expect included a prescription for​ medication?

Answer 1

Out of 930 emergency room visits involving an injury, you would expect that 558 of these visits included a prescription for medication, calculated by a proportion based on the given ratio of 6 prescribed visits for every 10 visits.

Step-by-step explanation:

If medication is prescribed in 6 out of every 10 hospital emergency room visits that involve an injury, and a large urban hospital had 930 emergency room visits involving an injury in the past month, we can calculate the number of visits that included a prescription for medication using a simple proportion.

We set up the proportion as follows:

• 6 prescribed visits / 10 total visits = x prescribed visits / 930 total visits

To solve for x, which represents the number of expected prescribed visits, we cross-multiply and divide:

• 6/10 × 930 = x
• x = 558

Therefore, we would expect that 558 visits involved a prescription for medication.

Answer 2

We can first get the percentage of the emergency room visits that involves an injury.
6 out of 10.
This will be (6/10)×100 = 60%

So, if there are 930 emergency room visits, the expected visits included a prescription for​ medication is;

60% of 930 = 60/100 × 930
= 0.6 ×930
= 558