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svet-max [94.6K]
3 years ago
12

A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?

Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer:

<h2>a = - 4.8</h2>

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

a \:  \:  \alpha  \:  \:  \frac{k}{b}

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

7.2=  \frac{k}{ - 4}

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

a =  -  \frac{28.8}{b}

When

b = 6

That's

a =  -  \frac{28.8}{6}

We have the final answer as

<h3>a = - 4.8</h3>

Hope this helps you

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