Question

Camille is hiking. She starts at 34 feet and hikes up at a constant rate of 5 feet per minute. How many minutes could she be hiking if she is above 200 feet in elevation?
Write an inequality to represent the situation. Use x to represent the number of minutes.
Excellent!
You just wrote an inequality to represent the situation. Now solve the associated equation, 34 + 5x = 200, to find the boundary for the inequality. Show your work or solve on paper.
34 + 5x > 200
34+5x
=
200

x
=

Answer 1

To find out how many minutes Camille could be hiking until she is above 200 feet in elevation, we first need to set up the inequality:

**Inequality**:
\[ 34 + 5x > 200 \]

Now let's solve the associated equation to find the boundary:

**Equation**:
\[ 34 + 5x = 200 \]

**Step 1**: Subtract 34 from both sides:
\[ 5x = 200 - 34 \]
\[ 5x = 166 \]

**Step 2**: Divide both sides by 5:
\[ x = \frac{166}{5} \]
\[ x = 33.2 \]

The solution shows that Camille reaches 200 feet after approximately 33.2 minutes of hiking.

Therefore, to be above 200 feet, the number of minutes \( x \) must be greater than 33.2.

**Final Answer**:
Camille could be hiking for more than 33.2 minutes to be above 200 feet in elevation.