Question

Write an inequality that models the situation.Use l to represent the length of Rileys farm

Answer 1

`7l^2>3(200l-l^2)`

Step-by-step explanation:

First, determine the area of the avocado square farm.

`Area=l^2`

The money she earns from the avocado farm is:

`\text{Income}=\$7* l^2=7l^2`

Next, determine the area of where she lives:

`\begin{gathered} \text{Length of the house area}=l\text{ meters} \\ \text{Width of the house area}=(200-l)\text{ meters} \\ \implies\text{Area}=l(200-l)\text{ square meters} \end{gathered}`

The amount she spends per square meter on the area where she lives is $3.

Thus, total expenditure:

`\text{Expenses}=\$\; 3l(200-l)=3(200l-l^2)`

Recall that Riley manages to save some money every week. This means that her income is greater than her expenditure.

Thus, the inequality is:

`7l^2>3(200l-l^2)`