Question

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

Answer 1

Answer:

They have the same slope

Step-by-step explanation:

Given

Coaster 1:

$Drops = 140ft$

$Run = 40ft$

Coaster 2:

$Drops = 105ft$

$Run = 30ft$

First, we calculate the slope (m) of both coasters

$m = \frac{Rise}{Run}$

$m = \frac{Drops}{Run}$

For coaster 1:

$m = \frac{140ft}{40ft}$

$m = \frac{140}{40}$

$m = 3.5$

For coaster 1:

$m = \frac{105ft}{30ft}$

$m = \frac{105}{30}$

$m = 3.5$

$m = m=>3.5 = 3.5$

By comparison, they have the same slope