Here are the correct responses to your questions:
Question 1 A) Using the Property of Equality, what first step would you take to rearrange the formula \( y = mx + b \) using \( x \) as the quantity of interest?
- Response: Subtract \( b \) from both sides of the equation.
Question 2 A) Which of the following is an example of using the Division Property of Equality to rearrange the equation \( PV = nRT \)?
- Response: \( n = \frac{PV}{RT} \)
Question 3 A) Given the formula for the circumference of a circle, \( C = 2\pi r \), how would you rearrange the formula if you were interested in finding the radius of the circle?
- Response: \( r = \frac{C}{2\pi} \)
Question 4 A) Given the formula for the volume of a box, \( V = lwh \), which equation best represents the remaining units when justifying your rearrangement to solve for the width?
- Response: \( w = \frac{V}{lh} \) (This option isn't provided in your responses, but the concept of isolating \( w \) in \( V = lwh \) leads to this form.)
Question 5 A) Consider the formula that relates distance, velocity, and time (\( d = vt \)). If you are interested in the time it takes for a ladybug traveling at a speed of \( 3 \) inches per second to crawl up a \( 10 \)-foot section of wall, which unit conversion makes the most sense to use?
- Response: Converting feet to inches by multiplying \( 10 \) feet by \( 12 \) inches/1 foot.
Let me know if you need further assistance!