Question

The elevators used to transport people to the top of certain skyscraper building in a big city can hold up 15 people. The building has a total of 73 elevators. Which inequality represents the maximum number of people x, who can be transported to the top of building at the time, assuming all of the elevators are available?

Answer 1

`b)\text{ x}\leq1095`

Step-by-step explanation

Step 1

Let x represents the maximum number of people who can be transported at the same time,

as we know the total number of elevators and the number of people per elevator,we can use multiplication to find the total

hence

`\begin{gathered} \text{total people= number of elevators }\cdot rate \\ \text{replacing} \\ \text{total people=73 elevators}\cdot15\frac{\text{people}}{\text{elevator}} \\ \text{total people=}1095 \end{gathered}`

it means the maximum number of people ( x) must be equal or smaller than 1095

in math terms it is

`\begin{gathered} \text{maximum people}=x \\ \text{total people}\leq1095 \\ \text{hence} \\ x\leq1095 \end{gathered}`

so, the answer is

`b)\text{ x}\leq1095`

I hope this helps you