10. A hard-working carpenter's apprentice is working on an A-frame cabin that is to
be 24 feet across the base and 16 feet high. In one morning's work, he measured
and cut all the rafters 18 feet 6 inches long. Should he be given a pat on the
back or a kick in the pants?

i believe that is true.

step-by-step explanation:

hope my answer has you if not i'm sorry.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: