Answer:
The additional fee for each meter climbed is $105
Step-by-step explanation:
Let
P ----> the price in dollars
d ---> the distance in meters
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
take the ordered pairs
(70,114.1) and (100,118)
substitute
[tex]m=\frac{118-114.1}{100-70}[/tex]
[tex]m=\frac{3.9}{30}=\$0.13\ per\ meter[/tex]
step 2
Find the linear equation in slope intercept form
[tex]P=md+b[/tex]
where
m is the slope
b is the y-intercept (additional fee)
we have
[tex]m=0.13[/tex]
[tex]point\ (100,118)[/tex]
substitute and solve for b
[tex]118=0.13(100)+b[/tex]
[tex]b=118-13=\$105[/tex]
substitute
[tex]P=0.13d+105[/tex]
therefore
The additional fee for each meter climbed is $105
