Question

making predictions graded assignment
directions- read each question and use proportions to solve. show your work for each problem.

1. maria has broken three out of eight of her eggs for her science experiment. if she must use 80 eggs for her experiment, how many eggs can we expect her to break?
2. ms. ratliff surveys her 6th period to see what social media they prefer, and the results are recorded in the table. if ms. ratliff has 110 students, about how many can we predict would choose instagram?

snapchat	7
threads	5
instagram	9
tiktok	6

1. a shipment to a warehouse consists of 3,500 nintendo switches. the manager chooses a random sample of 50 nintendo switches and finds that 3 are defective. how many nintendo switches in the shipment are likely to be defective?
2. to find out how many whales lived in a certain area, scientists put tracking devices on 17 whales. later that month, the scientists counted 32 whales in the area and found that 8 of them wore tracking devices. which best estimates the total number of whales in the area? (population)
3. a wildlife surveyor captured and tagged 24 lions in the kora national park. later the surveyor captured 60 lions of which 7 were tagged. what is a good estimate of the lion population in the kora national park?
4. three out of every 10 students ages 6 - 14 have a magazine subscription. suppose there are 30 students in kennedy’s class. about how many will have a magazine subscription?

Explanation:

Problem 1

Step1: Set up proportion

Let \( x \) be the number of broken eggs. The proportion is \( \frac{3}{8}=\frac{x}{80} \).

Step2: Solve for \( x \)

Cross - multiply: \( 8x = 3\times80 \). Then \( 8x=240 \), and \( x=\frac{240}{8}=30 \).

Step1: Find total in survey

First, find the total number of students in the survey: \( 7 + 5+9 + 6=27 \).

Step2: Set up proportion

Let \( x \) be the number of students who choose Instagram. The proportion is \( \frac{9}{27}=\frac{x}{110} \). Simplify \( \frac{9}{27}=\frac{1}{3} \), so \( \frac{1}{3}=\frac{x}{110} \).

Step3: Solve for \( x \)

Cross - multiply: \( 3x = 110 \), \( x=\frac{110}{3}\approx37 \) (rounded to the nearest whole number).

Step1: Set up proportion

Let \( x \) be the number of defective switches. The proportion is \( \frac{3}{50}=\frac{x}{3500} \).

Step2: Solve for \( x \)

Cross - multiply: \( 50x=3\times3500 \). Then \( 50x = 10500 \), and \( x=\frac{10500}{50}=210 \).

Answer:

30

Problem 2