Answer:
The length of the subway on the map is
![2.83\ inches](https://img.qammunity.org/2020/formulas/mathematics/high-school/ms6nn6xyim197vfh5x40rtjckqce7a0vxn.png)
Explanation:
we know that
The scale on the map is equal to the length of the subway on the map divided by the length of the subway in the actual
so
Let
z------> the scale on the map
x------> the length of the subway on the map
y------> the length of the subway in the actual
![z=(x)/(y)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ayhl0qe7p6eghteqpz358y0g1uifu6qmpv.png)
In this problem we have
![z=(0.15)/(45)(inches)/(miles)](https://img.qammunity.org/2020/formulas/mathematics/high-school/bxlilebgyh8cf2lkxjndhf0sxp1mr2hfin.png)
![y=850\ miles](https://img.qammunity.org/2020/formulas/mathematics/high-school/bon41o0onke8ap09hdpo1dd41xlp06umq3.png)
substitute and solve for x
![(0.15)/(45)=(x)/(850)](https://img.qammunity.org/2020/formulas/mathematics/high-school/uc8hodkr7dd4d7t0rth7faingird918ml5.png)
![x=850*(0.15)/(45)=2.83\ inches](https://img.qammunity.org/2020/formulas/mathematics/high-school/2fpnjt7h5u7mb2w8x6b32cfj5a3m5ukpbe.png)