Hey there!
"The state capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella’s scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella’s model?"
- So, the first step as to finding our answer, we have to set up our equation
- Which is 450 divided by a number is 25 divided by 10, the number is unknown, so we will label it as a "[tex]\bold{p}[/tex] value"
- [tex]\bold{\frac{450}{p}=\frac{25}{10}}[/tex]
- [tex]\bold{\frac{450}{p}=\frac{25}{10}}[/tex]
- [tex]\bold{Cross}[/tex] [tex]\bold{multiply:450(10)=25(p)}[/tex]
- [tex]\bold{450(10)=4500}[/tex]
- [tex]\bold{25(p)=25p}[/tex]
- [tex]\bold{4500=25p}[/tex]
- Flip the equation: [tex]\bold{25p=4500}[/tex]
- [tex]\bold{Divide}[/tex] by [tex]\bold{25}[/tex] on each of your sides
- [tex]\bold{\frac{25p}{25}=\frac{4500}{25}}[/tex]
- [tex]\bold{Cancel:\frac{25p}{25}}[/tex] because it gives us an outcome of [tex]\bold{1}[/tex] which is NOT apart of our answer choices
- [tex]\bold{Keep:\frac{4500}{25}}[/tex] because it gives us our answer
- Therefore: [tex]\boxed{\boxed{\bold{Answer:A.180inches}}}[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\bold{LoveYourselfFirst:)}[/tex]
