Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run the second ride drops 105 feet in a 30 foot run which statement is true

Respuesta :

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