In a school with 2,000 students, a random sample of 120 students were asked which fruit is their favorite. Their responses are shown in the table below. Survey Responses Favorite Fruit Number of Students Banana 23 Apple 18 Orange 34 Peach 27 Pear 18 Using proportional reasoning, about how many students out of the 2,000 would you expect to select an orange as their favorite fruit?
Answers
Answer:
567 student.
Step-by-step explanation:
Here, According to the given information,
The ratio of students who like orange and total number of student participate in the survey = \frac{34}{120}
120
34
Let x students out of 2,000 students like orange.
Thus, In this case, the ratio of students who like orange and total number of student participate in the survey = \frac{x}{2000}
2000
x
By the proportional reasoning,
Both ratio must be equal.
That is, \frac{x}{2000}=\frac{34}{120}
2000
x
=
120
34
⇒ x = 2000\times \frac{34}{120}x=2000×
120
34
⇒ x = \frac{68,000}{120}x=
120
68,000
⇒ x = 566.666666667\approx 567x=566.666666667≈567
Thus, out of 2000 students about 567 students select an orange as their favorite fruit.
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Answer:
567 students
Step-by-step explanation: