273,470 views
15 votes
15 votes
Determine the following estimate without using a calculator. Then use a calculator to perform the computation necessary to obtain an exact answer. How reasonable isyour estimate when compared to the actual answer?A full-time employee who works 40 hours per week earns $21.50 per hour. Estimate that person's annual income.Round 52 weeks to 50 weeks per year, and round the hourly wage to the nearest dollar for the estimate. The estimate of annual income is 5 42000(Round to the nearest thousand as needed.)

User Dennis Klopfer
by
3.1k points

1 Answer

19 votes
19 votes

ANSWER and EXPLANATION

The employee works 40 hours per week and earns $21.50 per hour.

We want to estimate the annual income.

To do this:

- Approximate 52 weeks a year to 50 weeks.

- Approximate $21.50 to the nearest dollar, that is $22.

In a week, the worker earns:

40 * 22 = $880

In a year, the worker makes:

$880 * 50 = $44000

Now, using calculator to solve it:

40 * 21.50 * 52 = $44720

We see that the estimate is quite reasonable as the answer gotten is not very far from the actual answer (< $1000 difference)

User Sunjoo
by
2.4k points