A real estate office handles an apartment complex with 50 units. When the rent is $380 per month, all 50 units are occupied. When the rent is$425, however, the average number of occupied units drops to 47. Assume that the relationship between the monthly rent p and the demand x is linear. (The term demand refers to the number of occupied units.)

Linear Extrapolation Predict the number of occupied units when the rent is set at $455.

A small business purchases a piece of equipment for $\$1025$. After $5$ years the equipment will be outdated, having no value. Move the cursor along the graph and estimate (to two-decimal-place accuracy) the time when the value of the equipment will be $\$600.$

A small business purchases a piece of equipment for $\$1025$. After $5$ years the equipment will be outdated, having no value. Move the cursor along the graph and estimate (to two-decimal-place accuracy) the value of the equipment when $t=3$.

A small business purchases a piece of equipment for $\$1025$. After $5$ years the equipment will be outdated, having no value. Use a graphing utility to graph the equation.

A small business purchases a piece of equipment for $\$1025$. After $5$ years the equipment will be outdated, having no value. Write a linear equation giving the value $y$ of the equipment in terms of the time $t$ in years, $0\le t\le 5$.

Find the limit (if it exists), $\lim\limits_{x \to 0}\frac{\frac{1}{x-2}-1}{x}$.

Use a graphing utility to graph the function. Then use the zoom and trace features to find the zeros of the function. Is the function one-to-one?

$$f(x)=\frac{\sqrt{x^2-16}}{x^2}$$

A company constructs a warehouse for $825,000. The warehouse has an estimated useful life of 25 years, after which its value is expected to be$75,000. Write a linear equation giving the value y of the warehouse during its 25 years of useful life. (Let t represent the time in years.)

Find the limit (if it exists), $\lim\limits_{x \to \frac{1}{2}}\frac{2x-1}{6x-3}$.

Ethylene glycol is the main component in automobile antifreeze. To monitor the temperature of an auto cooling system, you intend to use a meter that reads from 0 to 100. You devise a new temperature scale $\left({ }^{\circ} \mathrm{A}\right)$ based on the approximate melting and boiling points of a typical antifreeze solution $\left(-45^{\circ} \mathrm{C}\right.$ and $\left.115^{\circ} \mathrm{C}\right)$. You wish these points to correspond to $0^{\circ} \mathrm{A}$ and $100^{\circ} \mathrm{A}$, respectively.

What is a temperature of $45^{\circ} \mathrm{C}$ in ${ }^{\circ} \mathrm{A}$ ?

Ethylene glycol is the main component in automobile antifreeze. To monitor the temperature of an auto cooling system, you intend to use a meter that reads from 0 to 100. You devise a new temperature scale $\left({ }^{\circ} \mathrm{A}\right)$ based on the approximate melting and boiling points of a typical antifreeze solution $\left(-45^{\circ} \mathrm{C}\right.$ and $\left.115^{\circ} \mathrm{C}\right)$. You wish these points to correspond to $0^{\circ} \mathrm{A}$ and $100^{\circ} \mathrm{A}$, respectively.

Your thermometer reads $86^{\circ} \mathrm{A}$. What is the temperature in ${ }^{\circ} \mathrm{C}$ and in ${ }^{\circ} \mathrm{F}$ ?

Ethylene glycol is the main component in automobile antifreeze. To monitor the temperature of an auto cooling system, you intend to use a meter that reads from 0 to 100. You devise a new temperature scale $\left({ }^{\circ} \mathrm{A}\right)$ based on the approximate melting and boiling points of a typical antifreeze solution $\left(-45^{\circ} \mathrm{C}\right.$ and $\left.115^{\circ} \mathrm{C}\right)$. You wish these points to correspond to $0^{\circ} \mathrm{A}$ and $100^{\circ} \mathrm{A}$, respectively.

At what temperature would your thermometer and a Celsius thermometer give the same numerical reading?

Ethylene glycol is the main component in automobile antifreeze. To monitor the temperature of an auto cooling system, you intend to use a meter that reads from 0 to 100. You devise a new temperature scale $\left({ }^{\circ} \mathrm{A}\right)$ based on the approximate melting and boiling points of a typical antifreeze solution $\left(-45^{\circ} \mathrm{C}\right.$ and $\left.115^{\circ} \mathrm{C}\right)$. You wish these points to correspond to $0^{\circ} \mathrm{A}$ and $100^{\circ} \mathrm{A}$, respectively.

Derive an expression for converting between ${ }^{\circ} \mathrm{F}$ and ${ }^{\circ} \mathrm{A}$.

Ethylene glycol is the main component in automobile antifreeze. To monitor the temperature of an auto cooling system, you intend to use a meter that reads from 0 to 100. You devise a new temperature scale $\left({ }^{\circ} \mathrm{A}\right)$ based on the approximate melting and boiling points of a typical antifreeze solution $\left(-45^{\circ} \mathrm{C}\right.$ and $\left.115^{\circ} \mathrm{C}\right)$. You wish these points to correspond to $0^{\circ} \mathrm{A}$ and $100^{\circ} \mathrm{A}$, respectively.

Derive an expression for converting between ${ }^{\circ} \mathrm{A}$ and ${ }^{\circ} \mathrm{C}$.