desmos 2
Unit A1.5, Lesson 6: City Development
Nam
Activity 2: Des-Town Neighborhood
Des-Town won a grant of $4.2 million to develop green space and single-family homes on 15 plots
of unused land. They want to use all the grant money to build on every plot of land. It will cost
$300000 for each plot with a single-family home and $200000 for each plot of green space.
City employees wrote this system to determine how many houses, h,
h+hat(x)=15
and green spaces, x, they should build.
0.3h+0.2x=4.2
Solve this system graphically and symbolically.
Symbolically
Mark the solution in each representation. What does it represent about the neighborhood?
Use the solution to design a neighborhood that meets Des-Town's constraints. Mark the location of each house with an H and each plot of green space with a G.
Compare your Metropolis and Des-Town neighborhoods. Discuss: What are some advantages and disadvantages of building houses versus apartments?
desmos Unit A1.5,Lesson 6:City Development Name Activity 2:Des-Town Neighborhood Des-Town won a grant of $4.2 million to develop green space and single-family homes on 15plots of unused land. They want to use all the grant money to build on every plot of land.It will cost $300 000 for each plot with.a single-family home and $200 000 for each plot of green space.
City employees wrote this system to determine how many houses,h and green spaces,x,they should build.
h+x=15
0.3h+0.2x=4.2
Solve this system graphically and symbolically
Graphically
Symbolically
10
15
20
Number of Green Spaces,x
2.Mark the solution in each representation. What does it represent about the neighborhood?
Use the solution to design a neighborhood that meets Des-Town's constraints. Mark the location of each house with an H and each plot of green space with a G
4.- Compare your Metropolis and Des-Town neighborhoods.Discuss:What are some advantages and disadvantages of building houses versus apartments?