Respuesta :
Answer:
640≥393.96+45.63o
Step-by-step explanation:
\text{We know:}
We know:
\color{blue}{\text{cost of bike \& gear}}=
cost of bike & gear=
\,\,\color{blue}{\$393.96}
$393.96
\color{red}{\text{cost per outfit}}=
cost per outfit=
\,\,\color{red}{\$45.63}
$45.63
\color{purple}{\text{budget}}=
budget=
\,\,\color{purple}{\$640}
$640
\text{\# of outfits}=
# of outfits=
\,\,o
o
Some or all means he can also spend less than $640, so we will use the \leq≤ ("less than or equal to") symbol:
\color{red}{\text{cost per outfit}}\cdot\text{\# of outfits}+\color{blue}{\text{cost of bike \& gear}}\leq\color{purple}{\text{budget}}
cost per outfit⋅# of outfits+cost of bike & gear≤budget
\color{red}{45.63}o+\color{blue}{393.96}\leq
45.63o+393.96≤
\,\,\color{purple}{640}
640
\star⋆ Inequality #1
\text{or, by the commutative property of addition,}
or, by the commutative property of addition,
\color{blue}{393.96}+\color{red}{45.63}o\leq
393.96+45.63o≤
\,\,\color{purple}{640}
640
\star⋆ Inequality #2
We could also switch the two sides of the inequality, but we have to be careful which symbol we use. Some or all means his budget should always be greater than or equal to the total cost, including the bike & gear plus all the outfits.
\color{purple}{640}\geq
640≥
\,\,\color{red}{45.63}o+\color{blue}{393.96}
45.63o+393.96
\star⋆ Inequality #3
\text{or}
or
\color{purple}{640}\geq
640≥
\,\,\color{blue}{393.96}+\color{red}{45.63}o
393.96+45.63o
\star⋆ Inequality #4
