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3. The variable z varies jointly with x and y. If z = 24 when x = 6 and y = 8, find the value
of z if x= 12 and y = 19.
m. 114
a.141
t. 411
h. 11.4
4. Y varies directly as x an​

Sagot :

Answer:

m. 114

Step-by-step explanation:

Lets find the value of the constant first

[tex]\rm z = kxy[/tex]

Given that z = 24 when x = 6 and y = 8

[tex]\implies \rm 24 = k(6)(8)[/tex]

[tex]\implies \rm 24=48k[/tex]

[tex]\implies \rm \frac{24}{48} = k[/tex]

[tex]\implies \rm \frac{1}{2} = k[/tex]

Now lets find the value of z if x = 12 and y = 19.

[tex]\rm z = \frac{1}{2} (12)(19)[/tex]

[tex]\implies \rm z = 6(19)[/tex]

[tex]\implies \boxed{\rm z = 114}[/tex]

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