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#"18 inches"# of wire cost #"54 cents"#. How much will #"14 inches"# cost?

Answer 1

Eva Adamson

14 inches of wire will cost 42 cents.

From the question, you know that #"18 in"# of wire is #"54 c"# so an equation relating them can be determined.

#"18 in"##=##"54 cents"#,

where #"54 cents"##=##$.54#,

so #"18 in"##=##$.54#

Use the relationship between inches and cost to create a conversion factor to multiply by #"14 in"#, that will cancel inches and leave cost.

#14color(red)cancel(color(black)("in"))xx($.54)/(18color(red)cancel(color(black)("in")))=$0.42#

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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.