Would someone help me out in word problems?

Question

My weakness in math is math word problems eventhough im taking algebra2. Can someone please help me out? Im despetrate

Dr. H. pricks Leslie fine and toe and measures reaction times of 15.2 and 22.9 milliseconds, respectively. (A milliesecond is 1/1000 of a second) Leslie finger is 100 cm, from brain, and her toe is 170 cm from her brain.

Write the particular equation expressing time delay in terms of distance.

thankyou so much

Answer 1

There will be a term proportional to distance added to a constant delay term, so the form will be t=kD + c. Solving for k and c:
t1=.152=100k + c
t2=.229=170k + c
t2-t1=.077=70k
Then k=.0011
t1=.152=.11 + c --> c=.042
t2=.229=.187 + c --> c=.042
Result is
t=.0011*D + .042

Answer 2

It sounds like you are assuming the relation is linear (i.e. of the form y = mx + b). If so, you need to decide which variables (x and y) represent which quantities (time and distance).

Since you want time in terms of distance, this means that distance is the indepedent variable (usually the x), and time is the dependent variable (usually y) because it DEPENDS on the distance.

Letting x = distance and y = time delay, you have two ordered pairs of numbers to work with: (100, 15.2) and (170, 22.9).

Take those two points and make your linear equation out of them. I assume since you only asked about the word-problem aspect of this, you can finish the problem on your own.

Answer 3

What shapes do you get while you break up the rectangular with a diagonal? Two trangles. Since we all know the discipline is a rectangular, that suggests all of the facets are same (accordingly, if you already know one facet, you already know all of the facets). So now you will have a trangle with 2 facets same to 60 ft. You can now use Pythagorean's theorem: A (squared) + B(squared) = C (squared) A and B are your 2 facets and you then simply resolve for C. Good success!

Answer 4

(15.2,100),(22.9,170)
15.2=100x+c
22.9=170x+c
x=7.7/70=0.11
so equation
t=0.11x+4.2