The senior class advisor at a local high school is printing class tee-shirts as a fundraiser. The printing company charges three dollars per shirt if fewer than 100 tee-shirts are ordered, plus a flat 25 dollars order charge. If 100 or more tee-shirts are ordered, a fee of two dollars and fifty cents is charged per shirt, and the order charge is reduced to 15 dollars. Write the piecewise function C(x) to represent the printing fees.
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The correct representation for this function is [tex]C(x)\ =\left \{ {{3x+25 \ ;\ < x < 0 < 100} \atop {2.5x+15\ ;\ x\geq 100}} \right.[/tex]what is a mathematical function?
- Y and x are coupled in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x), or “f of x.” In other words, the same x cannot have more than one value for f(x).
- A function connects an element x to an element f(x) in another set, to use the language of set theory.
- The domain and range of the function are the set of values of f(x) that are produced by the values in the domain of the function, which is the set of values of x.
3 $ per shirt plus 25 $ order charge :if fewer than 100 tee shirts[tex]3x+25 \ ; 0 < x < 100[/tex]If more than 100 ,2.5 per shirt order charge is 15[tex]2.5x+15 \ ; \ x \geq 100[/tex]therefore,the correct way to present this problem as mathematical function is [tex]C(x)\ =\left \{ {{3x+25 \ ;\ < x < 0 < 100} \atop {2.5x+15\ ;\ x\geq 100}} \right.[/tex].Learn more about mathematical function here:https://brainly.com/question/10439235#SPJ4 -
The fifth partial sum represents the sum of the first 5 terms in the sequence is equal to 2210.The fifth partial sum represents the sum of the first 5 terms in the sequence.What is the partial sum of sequence?The partial sum of a sequence gives the sum of the first n terms in the sequence.Thus, the fifth partial sum represents the sum of the first 5 terms in the sequence.The given geometric sequence :$400, $420, $441, $463, and $486.The fifth partial sum of the above sequence will be :$400+ $420+ $441+$463+$486=$2210Therefore, the fifth partial sum represents the sum of the first 5 terms in the sequence equal to 2210.To learn more about the sequence visit:brainly.com/question/7882626