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Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

Answer 1

Savannah Anderson

#12# weeks

If Keith starts with #$500# and wants to end with (at least) #$200# he can withdraw up to #$500-$200=$300#

If he withdraws #($25)/"week"# the #$300# will last #color(white)("XXX")($300)/(($25)/"week")= 12 " weeks"#

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Answer 2

Julia Adams

Keith can withdraw money from his account for ( \frac{500 - 200}{25} ) weeks, which is ( \frac{300}{25} = 12 ) weeks. Therefore, Keith can withdraw money from his account for 12 weeks.

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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.