Question

A mountain climbing team is camped at an altitude of 18,460 feet on Mount Everest. The team wants to reach the 29,029-foot summit within 6 days. Write an inequality to find the average number of feet per day the team must climb to accomplish its objective.

I want the answer step by step, please.

Answer 1

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Step 1 :

Identify what you are trying to find. This will be the variable in the inequality.

Let d represent the average altitude the team must gain each day.

Step 2 :

Identify important information in the problem that you can use to write an inequality.

starting altitude : 18,460 ft

target altitude: 29,029 ft

Number of days times altitude gained to reach target altitude : 6 · d

Step 3 :

Use words in the problem to tie the information together and write an inequality.

Step 4 :

Hence, the inequality which represents the given situation is

18,460 + 6d ≥ 29,029

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For step 3

Answer 2

Explanation:

Step 1: Make an equation

`Initial \ Height + 6x \ge Want\ to\ Reach`

`18460 + 6x \ge 29029`

Step 2: Subtract 18460 from both sides

`18460 - 18460 + 6x \ge 29029- 18460`

`6x \ge10569`

Step 3: Divide both sides by 6

`6x / 6\ge10569/6`

`x \ge 1761.5`

Answer:
`x \ge 1761.5`