The inequality that determine the number of passengers who need to get off the elevator to meet the weight requirement is [tex]\boxed{750 - 70x \leqslant 450}.[/tex]
Further explanation:
The linear equation with slope [tex]\text{m}[/tex] and intercept [tex]\text{c}[/tex] is given as follows.
[tex]\boxed{y = mx + c}[/tex]
The formula for slope of line with points [tex]\left( {{x_1},{y_1}} \right)[/tex] and [tex]\left( {{x_2},{y_2}} \right)[/tex] can be expressed as,
[tex]\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}[/tex]
Explanation:
The weight limit for the elevator is [tex]450{\text{ kilogram}}.[/tex]
The current group of passengers weighs a total of [tex]750{\text{ kilogram}}.[/tex]
The average weight of each person is [tex]70{\text{ kilogram}}.[/tex]
Consider the number of excess passengers as [tex]\text{x}[/tex].
The inequality that determine the number of passengers who need to get off the elevator to meet the weight requirement,
[tex]750 - 70x \leqslant 450[/tex]
The inequality that determine the number of passengers who need to get off the elevator to meet the weight requirement is [tex]\boxed{750 - 70x \leqslant 450}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear inequality
Keywords: Renna, pushed, weight, elevator, limit, button, elevator go up, not move, weight limit, kilograms, 450 kilograms, current group, passenger, weight, 750 kilogram, inequality, weight requirement, excess passenger, get off, number of passenger.
