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galina1969 [7]
3 years ago
11

Can someone please answer this for me???

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0
$12.60 after 9 years started w/ $8
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Answer:

When x = 1 and z = 4,   y=\frac{80}{9}

Step-by-step explanation:

The variation described in the problem can be written using a constant of proportionality "b" as:

y=b\,\,x\,\,z^2

The other piece of information is that when x = 5 and z = 1, then y gives 25/9. So we use this info to find the constant "b":

y=b\,\,x\,\,z^2\\\frac{25}{9} =b\,\,(5)\,\,(1)^2\\\frac{25}{9} =b\,\,(5)\\b=\frac{5}{9}

Knowing this constant, we can find the value of y when x=1 and z=4 as:

y=b\,\,x\,\,z^2\\y=\frac{5}{9} \,\,x\,\,z^2\\y=\frac{5}{9} \,\,(1)\,\,(4)^2\\y=\frac{5*16}{9}\\y=\frac{80}{9}

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