Question: The relationship between the actual air temperature $x$ (in degrees Fahrenheit) and the temperature $y$ adjusted for wind chill (in degrees Fahrenheit, given a 20 mph wind) is given by the following formula: $$y = -22 + 1.4x$$ Estimate the actual temperature if the temperature adjusted for wind chill is $-15$ degrees Fahrenheit.
1. **State the problem:** We are given the formula $$y = -22 + 1.4x$$ where $y$ is the wind chill adjusted temperature and $x$ is the actual air temperature. We need to find $x$ when $y = -15$.
2. **Write the formula and substitute:** Substitute $y = -15$ into the formula:
$$-15 = -22 + 1.4x$$
3. **Isolate the variable $x$:** Add $22$ to both sides:
$$-15 + 22 = 1.4x$$
$$7 = 1.4x$$
4. **Solve for $x$ by dividing both sides by $1.4$:**
$$x = \frac{7}{1.4}$$
Show the cancellation step:
$$x = \frac{\cancel{7}}{\cancel{1.4}} \times \frac{1}{1} = 5$$
5. **Interpret the result:** The actual air temperature $x$ is $5$ degrees Fahrenheit when the wind chill adjusted temperature is $-15$ degrees Fahrenheit.
**Final answer:**
$$\boxed{5}$$ degrees Fahrenheit.