Start by finding the probability of choosing a career in medicine.
110
We are given a table with the results of a survey of seventh graders.
Career Field
Students
Entertainment
17
Education
14
Medicine
11
Public Service
6
Sports
2
Before we can predict the the number of students out of 500 will enter the medical field, let's find the probability of choosing a career in medicine. To do so, we need to find the total number of students.
17+ 14+ 11+ 6+ 2= 50
Next, we can divide the number of students that chose a career in medicine by the total number of students.
P(medicine)=11/50
Now, we want to predict the number of students that will enter the medical field if there are 500 students. Let n represent this number. We can assume that the ratio of students choosing a career in medicine is the same among all of the students. Using this information, we can write an equivalent ratio.
11/50=n/500
Because 50*10 is equal to 500, we can multiply 11 by 10 to find n.
We can predict that 110 students will enter the medical field because 11* 10 equals 110.
