Question

madeline studies honeybees. every week she weighs the same honeybee hive, the first week the hive weighs 11.607 kilograms. its weight increases about .204 kilograms every week. at this rate, how many kilograms will it increase in about 7.5 weeks?

Answer 1

So, we already know that one hive has a weight of 11.607kg and .204kg is add each week, so we add on .204kg times, w, representing weeks onto 11.607kg and our t is our total of weight of a hive with respect to weeks

$w = weeks \\ t = total \: weight \: with \: respect \: to \: weeks$
So in this case our w is 7.5 weeks and now we evaluate t

$w = 7.5 \: weeks \\ t = ?$
Solve
$11.607kg + .204kg(w) = t \\ 11.607kg + .204kg(7.5) = t \\ t = 13.137kg$
Answer:

Hive's weight will increase by 1.53kg in 7.5 weeks to 13.137kg