Rose Harrison and Clara Huizink Solutions for Exercise 24: Mixed practice

Kanye has $600$ m of fencing to make five adjacent pens like the following figure. Express the total area of the pens in terms of $x$.

,

Kanye has $600$ m of fencing to make five adjacent pens like the following figure.Determine the value of $x$ that will maximize the total area.

,

Kanye has $600$ m of fencing to make five adjacent pens like the following figure. Find the maximum area.

,

Soraya has $40$ m of fencing to make a rectangular play area. Find the dimensions for the maximum play area.

The population $P$ of an animal species is modelled by the function $P\left(t\right)=-0.38t^2+134t+1100$, where $t$ is the time in months since the population was first observed. Determine the number of months until the population is at its maximum.

The population $P$ of an animal species is modelled by the function $P\left(t\right)=-0.38t^2+134t+1100$, where $t$ is the time in months since the population was first observed. Determine the maximum population.

The population $P$ of an animal species is modelled by the function $P\left(t\right)=-0.38t^2+134t+1100$, where $t$ is the time in months since the population was first observed. Determine the number of months before the species disappears.

A ball is thrown up into the air, from $5$ m above the ground. After $2$ seconds, the ball reaches a maximum height of $9$ m. It lands on the ground $5$ seconds after it was thrown. Find a quadratic function that models this situation. Write it in standard and vertex form.