Kendall asked 40 randomly selected seniors at his high school about their plans for after they graduated. 29 students said they plan to go to college. If there are 380 seniors at Kendall’s high school, estimate the number to plan to go to college.
A. 245.
B. 275.
C. 310
D. 330.
We can use a proportion to estimate the number of seniors who plan to go to college:
29/40 = x/380
Solving for x, we get:
x = (29/40) * 380
x = 275.5
Rounding to the nearest whole number, the estimate is 276, which is closest to answer choice B. Therefore, the answer is B. 275.
To estimate the number of seniors who plan to go to college, we can use proportions.
We know that out of the 40 randomly selected seniors, 29 of them plan to go to college.
If we assume that the proportion of seniors planning to go to college is the same among the entire senior class, we can set up a proportion:
29/40 = x/380
Solving for x, we can cross-multiply:
40x = 29 * 380
40x = 11,020
Dividing both sides by 40:
x = 11,020 / 40
x = 275.5
Since we cannot have half of a senior planning to go to college, we round down to the nearest whole number.
Therefore, we estimate that 275 seniors plan to go to college.
The correct answer is B. 275.
To estimate the number of seniors who plan to go to college, we can set up a proportion using the information provided.
We know that Kendall asked 40 randomly selected seniors and 29 of them said they plan to go to college. We can set up the proportion:
Total number of seniors who plan to go to college / Total number of seniors = Number of seniors who plan to go to college in the sample / Number of seniors in the sample
Let's substitute the known values:
Total number of seniors who plan to go to college / 380 = 29 / 40
To solve for the total number of seniors who plan to go to college, we can cross-multiply and then divide:
(29 / 40) * 380 = Total number of seniors who plan to go to college
Simplifying:
10.55 * 380 = Total number of seniors who plan to go to college
Total number of seniors who plan to go to college ≈ 4004
Therefore, the closest estimate from the given options is 330 seniors who plan to go to college (option D).