Question

Confused.. can someone take a look? (beginners)

Answer 1

If we assume that nothing else changes, then I believe we can set up a proportion and analyze the relationship between the two parameters. This will help us focus on what we need. That is,\[\huge \frac{1}{\Delta t} \propto d^2\]
If d increases by a factor of 3, then that means we have\[\huge \frac{1}{\Delta t} \propto 9d^2\]And in order to keep the statement true from the equation in the problem, then the left side needs a 9 as well.
\[\huge \frac{1}{\frac{1}{9}\Delta t} \propto 9d^2\]
\(\Delta t\) is increased by a factor of 1/9 or decreased by a factor of 9

To check our work, we can continue to simplify and see the following:\[\huge \frac{1}{\frac{1}{9}\Delta t} \propto 9d^2\]\[\huge 9\frac{1}{\Delta t} \propto 9d^2\]\[\huge \cancel{9}\frac{1}{\Delta t} \propto \cancel{9}d^2\]Leaving us with our original proportion as:\[\huge \frac{1}{\Delta t} \propto d^2\]

Answer 2

In other words, I concur with your answers.

Answer 3

@CShrix Any word on how to do the other parts of the question?

Answer 4

@SolomonZelman @mathstudent55 @nincompoop @pooja195 @mathmale @Zale101 @welshfella @Mehek14

Answer 5

which parts are you still stuck on?

Answer 6

for B, you simply need to put the last equation of proportionality that @CShrix made into word form (e.g. x is proportional to the inverse of y)

for C: if you want two variables to plot as a straight line, you need them to be directly related. The simplest line equation is y=x but you can scale that by any factor c (y=c*x) and still end up with a straight line. right now you have some relation that's not quite direct. You have 1/deltat on one side, and d^2 on the other. So if your axes are just the values delta t and d, you will end up with some weird curve on your graph. Instead, you want to plot two different expressions such that you match the form of direct proportionality (y=c*x)

for D, it depends a bit on what you chose to be your axes, but it will likely just be the constant variables that you left out

Answer 7

I can't see the original question/

Answer 8

Same here, was there suppose to be a link? Or, are we to use mental telepathy??

Answer 9

I just reviewed previous questions from askme12345 and most of them are not posted with the question, so it is obvious the poster is asking for help from those who are in the same class or those who have the textbook!!

Answer 10

@radar The OP removed the post containing the question after it was solved X)

Answer 11

The OP has yet to close this question, however.

Answer 12

Oh O.K. thanks