Question

Harper Hospital treated 423 patients last week who were children, out of a total of 931 patients. The administrator calculates that they had 408 adult patients. Is the administrator's calculation reasonable? Estimate the number of adult patients by rounding the numbers to check the administrator's calculation.

A) The administrator's calculation is reasonable because my estimate of 500 is fairly close to 408.
B) The administrator's calculation is reasonable because my estimate of 400 is fairly close to 408.
C) The administrator's calculation is not reasonable because my estimate of 500 is not close to 408.
D) The administrator's calculation is not reasonable because my estimate of 400 is not close to 408.

Answer 1

The Answer is C.) The administrator's calculation is not reasonable because my estimate of 500 is not close to 408.

Explanation:

Round each number to the nearest hundreds.

423 → 400

921 → 900

Estimate = 900 − 400 = 500

Actual number of adult patients = 931 − 423 = 508

The administrator miscalculated the number of adult patients.

Answer 2

Hi there!

The correct answer is C) The administrator's calculation is not reasonable because my estimate of 500 is not close to 408. Let's use rounding to find our estimate. 423 is close to 400 and 931 is close to 900. If we subtract 400 from 900, we know that there was approximately 500 adults. Since 408 is not near 500, the administrator's calculation is not reasonable. In fact, they were 100 off from the correct calculation, also making it not reasonable.

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