The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 30 pounds. Above 30 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k. If x represents the number of pounds, the price function is as follows. 1.60x for x≤ 30 1.30x+k for x>30 Find k such that the price function p is continuous at x = 30. p(x)=

College Algebra (MindTap Course List)
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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 30 pounds. Above 30 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k.
If x represents the number of pounds, the price function is as follows.
p(x)=
1.60x for x ≤ 30
1.30x+k for x > 30
Find k such that the price function p is continuous at x = 30.
The price function p is continuous at x = 30 when k= (Type an integer or a decimal.)
Transcribed Image Text:The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 30 pounds. Above 30 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k. If x represents the number of pounds, the price function is as follows. p(x)= 1.60x for x ≤ 30 1.30x+k for x > 30 Find k such that the price function p is continuous at x = 30. The price function p is continuous at x = 30 when k= (Type an integer or a decimal.)
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