Question

A newborn calf weighs about 90 pounds. Each week, it's weight increases by 5%. a) If we were to graph this growth, would it be a linear or exponential function? b) How do you know? Support your answer.

Answer 1

Answer: exponential because it's a ratio :)

Explanation:

Answer 2

Exponential. Because of its cumulative nature (gain of weight) and its growth rate (5%).

Explanation:

It's a growth graph given by an exponential function because every gain of weight is cumulative to the earlier week's. This function can be modeled this way since the rate of growth (5%) was given, which is added by 1 then plugged into the formula.
`y=90(1.05)^(t)` Besides, this model is identical to Interest Composite Rate, which follows the same basic structure, namely Cumulative Growth at a given rate.