Richard is making copies of old family videos on DVDs for his entire family. The number of DVDs Richard can copy is directly proportional to the number of days that have passed. The table below shows the number of copies he has made so far. What is the constant of variation in the function that models the number of DVDs Richard can make as a function of time in days?

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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answer is 33

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