Question

r and q are inversely proportional variables. If q = 3/4 when r = 1/3, what is the value of q when r = 5?

288

likes1440 views

Neal

4.5

72 Answers

Given that r and q are inversely proportional, we have:

q \propto \frac{1}{r}

or

q = \frac{k}{r}

where\( k \) is a constant.

Given:

q = \frac{3}{4} \; \text{and} \; r = \frac{1}{3}

We need to find the constant\( k \) :

\frac{3}{4} = \frac{k}{\frac{1}{3}}

Thus,

\frac{3}{4} = 3k

Solving for\( k \) :

k = \frac{1}{4}

Now, using\( r = 5 \) :

q = \frac{k}{r} = \frac{\frac{1}{4}}{5}

q = \frac{1}{20}

Therefore, the value of\( q \) when \( r = 5 \) :

q = \frac{1}{20}

or

where

Given:

We need to find the constant

Thus,

Solving for

Now, using

Therefore, the value of

Frequently asked questions (FAQs)

What is the probability of getting a number divisible by 3 on a single roll of a fair six-sided die?

+

Math question: What is the measure (in degrees) of an angle in an isosceles triangle if the other two angles are each 70°?

+

What is the slope-intercept form of a line passing through the point (3,5) and having a slope of -2?

+

New questions in Mathematics