Renna pushed the button for the elevator to go up, but it would not move. the weight limit for the elevator is 450450450 kilograms, but the current group of passengers weighs a total of 750750750 kilograms. renna wants to determine how many 707070-kilogram passengers need to get off the elevator. let ppp represent the number of excess passengers. write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement.

Respuesta :

For this case, the first thing we must do is define a variable.
 We have then:
 p: the number of excess passengers
 We write now the inequality that represents the problem.
 We know that:
 The total capacity is 450 kilograms.
 The current weight is 750 kilograms.
 Each person has an average weight of 70 kilograms.
 The inequation that represents the problem is:
 [tex]-70p + 750 \leq 450[/tex]
 Answer:
 
an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement is:
 
[tex]-70p + 750 \leq 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]

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.