Answer:
They have the same slope
Step-by-step explanation:
Given
Coaster 1:
[tex]Drops = 140ft[/tex]
[tex]Run = 40ft[/tex]
Coaster 2:
[tex]Drops = 105ft[/tex]
[tex]Run = 30ft[/tex]
First, we calculate the slope (m) of both coasters
[tex]m = \frac{Rise}{Run}[/tex]
[tex]m = \frac{Drops}{Run}[/tex]
For coaster 1:
[tex]m = \frac{140ft}{40ft}[/tex]
[tex]m = \frac{140}{40}[/tex]
[tex]m = 3.5[/tex]
For coaster 1:
[tex]m = \frac{105ft}{30ft}[/tex]
[tex]m = \frac{105}{30}[/tex]
[tex]m = 3.5[/tex]
[tex]m = m=>3.5 = 3.5[/tex]
By comparison, they have the same slope