Question

Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several
parks to visit:
She wants to hike for 2 hours.
She wants LO spend no more than 6 hours away from home.
She can
average 50 miles per hour to and from the park.
Write and solve an inequality to find possible distances from Alexandria's home to a park that satisfies the conditions.

Answer 1

The inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.

Inequality

Minimum distance=(50×2)

Minimum distance=100 miles

Time (T) required to cover the distance (D)

Time=D/50 hours

Inequality is 2+D/50≤6

Hence:

Let solve for Distance (D)

D/55≤6-2

D≤4×50

≤200

Therefore the inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.

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