Question

If y varies directly as x and inversely as z, and y = 32 whe x = 4 and z = 6, find y when x = 10 and z = 26

Answer 1

The value of y is 18.46 when x=10 and z = 26

Step-by-step explanation:

The direct proportion is denoted as:

y∝x

And the inverse proportion will be denoted as:

y∝1/z

combining both

y∝ x/z

When the symbol of proportionality is removed, the proportionality constant is introduced

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

Given

y = 32 when x=4 and z = 6

Putting the values

$32 = k * \frac{4}{6}\\k = 32 * \frac{6}{4}\\k = 8*6\\k = 48$

So the equation will become:

$y = 48* \frac{x}{z}$

Putting x=10 and z= 26

$y = 48 * \frac{10}{26}\\y = \frac{480}{26}\\y = 18.4615$

Hence,

The value of y is 18.46 when x=10 and z = 26

Keywords: Proportion, variation

Learn more about proportion at:

• brainly.com/question/4054269
• brainly.com/question/4163549

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