The scale of a map is 1 in = 11.9 miles. How many inches will be drawn on the map to represent 30.9 miles?

  2.60 inches

Step-by-step explanation:

Map and actual distances are proportional. So the map distance m for 30.9 miles will be related to the actual distance in the same way the scale is:

  m/30.9 = 1/11.9

  m = 30.9/11.9 ≈ 2.5967

The length on the map is about 2.60 inches.

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.