The equation to represent the age of a dog in people years is p=6(d-1)+21 where p represents the age of a dog in people years, and d represents its age in dog years. How old is a dog if he is 17 in people years?

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Answer 1 · 2016-10-23T14:11:34

$d = 1/3 " year or 4 months old"$

You are TOLD that $p=17$ and ASKED to find the value of $d$

Substitute for $p$ and then solve for $d$

$p = 6(d-1)+21$

$17 = 6(color(red)(d)-1) +21" "$ subtract 21 from each side.

$17 -21 = 6(color(red)(d)-1)$

$-4 = 6color(red)(d) -6" "larr$ add 6 to both sides.

$-4+6 = 6color(red)(d)$

$2 = 6color(red)(d)$

$2/6 = color(red)(d)$

$d = 1/3 " year or 4 months old"$