Considering the definition of an equation and the way to solve it, the total cost of the shoes is 0.20×(x-15).
<h3>Definition of equation</h3>
An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
<h3>Total cost in this case</h3>
Being "x" the price of the shoes, and knowing that:
- you apply a discount of $15 first → x -15
- you apply a discount of 20% through a second discount (
- (applied on the first discount already made) → 20%×(x-15) → 0.20×(x-15)
the equation in this case is:
<u><em>Total cost= 0.20×(x-15)</em></u>
Finally, the total cost of the shoes is 0.20×(x-15).
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The piecewise function that models the scenario is:
c(x) = $3.75*x + $5 if x < 6
c(x) = $3.25*x + $5 if x ≥ 6.
<h3>
How to write a piecewise function?</h3>
A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.
The function in this case, if we define x as the number of boxes bought, is:
- c(x) = $3.75*x + $5 if x < 6
- c(x) = $3.25*x + $5 if x ≥ 6.
Where the cost per box changes for x equal or larger than 6.
If you want to learn more about piecewise functions, you can read:
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Answer:
no
Step-by-step explanation:
no.........................
Answer:
its very easy dude like come on this is like 4rth grade stuff