Respuesta :

Answer:

C. 4 weeks

Step-by-step explanation:

We have the formula

[tex]s = 16 \sqrt{7t} + 62[/tex]

We are looking for the value of t (number of weeks) when s = 150.

So, we isolate t (well, almost isolate, because it would be hard to read)

[tex](\frac{s - 62}{16} )^{2}  = 7t[/tex]

If we replace s by 150 we get:

[tex]7t = (\frac{150 - 62}{16} )^{2} =  (\frac{88}{16} )^{2} =  (5.5 )^{2} = 30.25[/tex]

We have 7t = 30.25.  If we divide both sides by 7 we get the number of weeks: 4.32... so rounding it down to 4.

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