The numeric constant of variation is 100
Step-by-step explanation:
Direct proportion means that increase in one variable cause increase in other variable
Here,
It is given that
y varies directly as x
y∝x
when the proportionality symbol is removed a proportionality constant is introduced

Given that
y = 100 when x = 4
Putting the values

The numeric constant of variation is 100
Keywords: Proportion variation
Learn more about direct proportion at:
#LearnwithBrainly
The graph provides distance as a linear function of time.
The y-intercept is zero.
The line passes through (0,0) and (6,120).
Calculate the slope.
m = (120 - 0)/(6 - 0) = 20
The equation of the line is
d = 20t
where
t = time, hours
d = distance, miles
Therefore distance is the dependent variable.
When t = 24 hours, the distance is 20*24 = 480 miles.
Answers:
(a) Distance is the dependent variable
(b)The equation relating the two variables is
d = 20t
where
t = time, hours
d = distance, miles
(c) In 24 hours, the dragonfly will travel 480 miles.
Answer:
first one is correct................
2/3x + 6 = 1/2x + 1/4x ...multiply everything by 12
8x + 72 = 6x + 3x
8x + 72 = 9x
72 = 9x - 8x
72 = x
Answer:
(b) 1.95
Step-by-step explanation:
One of the easiest ways to evaluate an arithmetic expression of almost any kind is to type it into an on-line calculator. Many times, typing it into a search box is equivalent.
<h3>Application</h3>
See the attachment for the search box input (at top) and the result. This calculator has the benefit that it <em>always follows the Order of Operations</em> when evaluating an expression. (Not all calculators do.)
ln(7) ≈ 1.95
__
<em>Additional comment</em>
If your math course is asking you to evaluate such expressions, you have probably been provided a calculator to use, or given the requirements for a calculator suitable for use in the course.
There are some very nice calculator apps for phone and tablet. Many phones and tablets already come with built-in calculator apps. For the purpose here, you need a "scientific" or "graphing" calculator. A 4-function calculator will not do.
As with any tool, it is always a good idea to read the manual for your calculator and work through any example problems.
__
Years ago, handheld calculators were not available, and most desktop calculators were only capable of the basic four arithmetic functions. Finding a logarithm required use of a table of logarithms. Such tables were published in mathematical handbooks, and extracts of those often appeared as appendices in math textbooks used in school.