Question

jasmine launches a model rocket from a cliff. the rocket goes up 16.8 feet above the cliff, then it drops 28.1 feet into the ocean below. complete the statements to describe how to determine the change in height from the cliff to the ocean below. click the arrows to choose an answer from each menu. the change in height between the launch point on the cliff and the distance above the cliff that the rocket reaches is best represented by a choose... number. the change in height from the top height of the rocket to the ocean below the cliff is best represented by a choose... number. the expression choose... best represents the change in height from the cliff to the ocean below. the change in height from the cliff to the ocean below is choose... feet

Explanation:

Step1: Analyze first change

The rocket goes up 16.8 feet from the cliff (launch point). An upward change is positive, so the first change (launch to above cliff) is a positive number.

Step2: Analyze second change

From the top height (above cliff) to the ocean below, the rocket drops 28.1 feet. A downward change is negative, so the second change (top to ocean) is a negative number.

Step3: Form expression for total change

To find the total change from cliff to ocean, we start with the first change (+16.8) and then add the second change (-28.1), so the expression is \(16.8 + (-28.1)\) (or \(16.8 - 28.1\)).

Step4: Calculate total change

\(16.8 - 28.1 = -11.3\) (the negative sign indicates a net downward change, and the magnitude is 11.3 feet from the cliff to the ocean).

Answer:

1. The change in height between the launch point on the cliff and the distance above the cliff that the rocket reaches is best represented by a \(\boldsymbol{\text{positive}}\) number.
2. The change in height from the top height of the rocket to the ocean below the cliff is best represented by a \(\boldsymbol{\text{negative}}\) number.
3. The expression \(\boldsymbol{16.8 - 28.1}\) (or \(16.8 + (-28.1)\)) best represents the change in height from the cliff to the ocean below.
4. The change in height from the cliff to the ocean below is \(\boldsymbol{-11.3}\) (or \(11.3\) feet downward) feet.