Respuesta :
Question:
Kenji has at most $30 to spend on lily bulbs and tulip bulbs at his local flower store. Lily bulbs cost $4 each, and tulip bulbs cost $2 each. Tax is included in the prices of the bulbs.
Create a constraint that can be used to represent all possible numbers of lily bulbs, x, and tulip bulbs, y, Kenji can buy
Answer:
[tex]\left\{\begin{array}{l}x\ge 0\\ \\y\ge 0\\ \\2x+y\le 15\end{array}\right.[/tex]
Solution:
Let "x" be the number of lily bulbs and "y" be the number of tulip bulbs Kenji bought.
[tex]\text {Here } x \geq 0 \text { and } y \geq 0[/tex]
Given that Lily bulbs cost $ 4 each
Then cost of "x" lily bulbs = [tex]4 \times x = 4x[/tex]
Thus cost of "x" lily bulbs is $ 4x
Given that tulip bulbs cost $2 each
Then cost of "y" lily bulbs = [tex]2 \times y = 2y[/tex]
Thus cost of "y" lily bulbs is $ 2y
So the total of "x" lily bulbs and "y" tulip bulbs is represented as: $ (4x + 2y)
Kenji has at most $30 to spend on lily bulbs and tulip bulbs at his local flower store, so
[tex]4x+2y\le 30\\\\2x+y\le 15[/tex]
Here we have used less than or equal to symbol to denote atmost 30
Create a constraint that can be used to represent all possible numbers of lily bulbs, x, and tulip bulbs, y, Kenji can buy:
[tex]\left\{\begin{array}{l}x\ge 0\\ \\y\ge 0\\ \\2x+y\le 15\end{array}\right.[/tex]
