Question

Wesley is driving 850 miles from vacation. She drives at a constant speed of 60 mph. Define a variable and write an inequality to represent the situation when she wants to stop for the night when she is no more than 300 miles from home.

a)
�
≥
850
−
300
x≥850−300

b)
�
≤
850
−
300
x≤850−300

c)
�
=
850
−
300
x=850−300

d)
�
>
850
−
300
x>850−300

Answer 1

Wesley plans to stop for the night when she has no more than 300 miles remaining on her trip of 850 miles. The inequality representing this situation is x ≤ 850 - 300, which simplifies to x ≤ 550. Therefore, the correct option is a).

Step-by-step explanation:

Wesley wants to ensure that she stops for the night when she is no more than 300 miles from home.

Let's define the variable x as the distance Wesley has driven when she decides to stop for the night.

The total trip is 850 miles, so the inequality that represents she has at least 300 miles left to drive should be set so that x plus the remaining distance does not exceed 850 miles.

Thus, the inequality is:
x ≤ 850 - 300

This inequality states that the distance Wesley has already driven (x) plus the 300 miles she wants to be within from home, should be less than or equal to the total trip distance.

Simplifying the inequality gives us x ≤ 550.

This means Wesley will stop for the night when she has driven 550 miles or less.

Therefore, the correct option is a).