Mathematics, 27.11.2019 22:31 tcham0201

Which is the inverse variation equation if f(x) = 3 when x= 2

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Answer from: jj1077348

The inverse variation equation is f(x) = 6/x.

Step-by-step explanation:

Given:

f(x)=3 when x=2

Now, for inverse variation equation :

$y\propto\frac{1}{x}$

$y=\frac{k}{x}$

$f(x)=\frac{k}{x}$

Here k is the constant of proportionality.

And, then we substitute the values:

$3=\frac{k}{2}$

k=6

So, $f(x)=\frac{6}{x}$

Therefore, the inverse variation equation is f(x) = 6/x.

Answer from: Quest

At a constant it will take one hour to travel 32 mi.at that speed it will take 1/2 hr to travel the remaining 16 mi.it will take 1+1/2 hr to travel the 48mi @ 32mph.so 1 hr = 60 min& 1/2 hr = 30 min1+1/2 hr = 90 min.there are 60s in each 90 × 60 = 3600 seconds.the real question seriously is he why are they driving so slow? ! lol.

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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