Question

A new underground rollercoaster is being installed. The height of the rollercoaster in feet throughout the underground section is modeled by the equation h(d) = 0.15d2 – 1.5d, where d represents horizontal distance in feet. What's the height of the rollercoaster 6 feet horizontally through the underground section?

Answer 1

3.75 feet

Explanation:

Answer 2

3.6 feet

Explanation:

The height of the rollercoaster in feet throughout the underground section is modeled by the equation :

`h(d) = 0.15d^2 - 1.5d` ....(1)

We need to find the height of the rollercoaster 6 feet horizontally through the underground section.

Put d = 6 feet in equation (1) as follows :

`h(6) = 0.15(6)^2 - 1.5(6)\\\\h=-3.6\ \text{feet}`

or

h = 3.6 feet

So, the height of the rollercoaster 6 feet horizontal through the underground section is 3.6 feet.