Question

An engineer is designing a roller coaster. The tallest peak is 310 feet high.

Answer 1

Hello!

The answer is:

The slope of the hill is equal to 2.

Why?

To solve the problem, we need to remember that the slope of a line, is the rate of increase or decrease of the line.

From the statement we know that the tallest peak of the roller coaster is 310 feet (y), while the roller coaster travels 155 horizontal feet (x), so, calculating we have:

$Slope=\frac{height}{base}=\frac{y}{x}$

Then, substituting the given information and calculating, we have:

$Slope=\frac{310ft}{155ft}=2$

We have that the slope of the hill is equal to 2.

Have a nice day!