Suppose y varies directly as x, and y =15 when x = 3. Find the constant of variation (k).

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

Answer:

k = 5

Step-by-step explanation:

y = kx

15 = k(3)

k = 15/3

k = 5

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Is 8/5 proportional to 24/15 ?

DiKsa [7]

Hey there!

The answer to your question is, yes, it is

Given:

$\frac{8}{5}$ $and$ $\frac{24}{15}$

To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:

$8*15=24*5$

Let's solve it and see if it is true:

$8*15=24*5$

$120=120$

Therefore, they are proportional.

Cross products

WORD DEFINITION:

Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.

ALGEBRAIC DEFINITION:

Given two fractions, $\frac{a}{b}$ $and$ $\frac{c}{d}$ , $a*d$ should equal to $b*c$