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"#