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An accountant earns $35 for the first hour and $23 for each subsequent hour per client. The accountant charges a client $127. How many hours did they work?

Answer 1

Isaiah Anthony

#5# hours

Suppose the number of addition hours the accountant worked is denoted by #n#.

Then the additional charge for each additional hour (at a rate of #$23# per hour) would be #$23xxn#

So the total charge would be #$35 + 23xxn#

And this total charge was #$127#

Hence:

# 35 + 23xxn = 127 # # :. 23xxn = 127 -35 # # :. 23xxn = 92 # # :. n = 92/23 # # :. n = 4 #

So the accountant worked for 4 additional hours, along with the initial hour, ie #5# hours

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Answer 2

Eva Adamson

The accountant worked for 4 hours.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.