Let's work through the two questions in the image:

First Question:

The given equation is: $y = 22 + 3.9x$ We are asked to find the value of $x$ when $y = 69$.

Substitute $y = 69$ into the equation and solve for $x$: $69 = 22 + 3.9x$ Subtract 22 from both sides: $47 = 3.9x$ Now divide both sides by 3.9: $x = \frac{47}{3.9}$ Let's compute this value.

Second Question:

The given equation is: $x = \frac{7y - 4}{4}$ We are asked to solve for $y$ in terms of $x$.

Multiply both sides of the equation by 4: $4x = 7y - 4$ Now add 4 to both sides: $4x + 4 = 7y$ Finally, divide by 7: $y = \frac{4x + 4}{7}$ So, the correct answer for this question is $\frac{4x + 4}{7}$, which corresponds to option D.

Now, let's compute the first answer.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can solve the first question manually by calculating:

$x = \frac{47}{3.9} \approx 12.05$

So, the correct answer for the first question is $x \approx 12.05$, which corresponds to option B.

If you have any further questions or need more help, feel free to ask! Here are some related questions:

1. What happens to $x$ if $y$ is increased to a higher value in the equation $y = 22 + 3.9x$?
2. Can you derive the relationship between $x$ and $y$ if the spring constant changes from 3.9 to another value?
3. How would you solve the second equation if it were written in terms of $y$ from the beginning?
4. What is the interpretation of the constant term 22 in the equation $y = 22 + 3.9x$?
5. How does multiplying both sides of an equation help in solving for a specific variable?

Tip: When solving for a variable, isolating the variable step by step makes it easier to simplify the problem.