Answer:
[tex]200\ m[/tex]
Step-by-step explanation:
Let
x------> total distance of a trip
y-------> the price of a trip
step 1
Find the slope
Let
[tex]A(70,114.1),B(100,118)[/tex]
[tex]m=\frac{(118-114.1)}{100-70}=0.13\frac{\$}{m}[/tex]
step 2
Find the equation of the line into point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=0.13[/tex]
[tex]A(70,114.1)[/tex]
substitute
[tex]y-114.1=0.13(x-70)[/tex]
[tex]y=0.13x-9.1+114.1[/tex]
[tex]y=0.13x+105[/tex]
step 3
For [tex]y=\$131[/tex]
Find the value of x
substitute in the linear equation and solve for x
[tex]131=0.13x+105[/tex]
[tex]0.13x=131-105[/tex]
[tex]x=26/0.13=200\ m[/tex]
