203k views
1 vote
Which situations best modules by an exponential relationship? Select all that apply.

Which situations best modules by an exponential relationship? Select all that apply-example-1

1 Answer

2 votes

1) The movement of a projectile that experiences a gravitational force is given by a quadratic equation (neglecting air effects), not an exponential one.

2) If one person forwards a tweet to 4 people, and those 4 people forward it to another 4 people each, the equation that describes the number of times the tweet is forwarded is


\begin{gathered} a_1=1 \\ a_2=4 \\ a_3=4^2 \\ \ldots \\ a_n=4^(n-1) \end{gathered}

Clearly, this is an exponential equation.

3) We do not know the contrast between the attendance at the water park in the two seasons. Furthermore, the function would need to be cyclic since the two seasons repeat. Therefore, the function cannot be an exponential one.

4) During the first year, the function is exponential; however, from that point on time onwards, the function is constant. This cannot be modeled by just an exponential relationship.

5) 1/2 of the participating teams are eliminated after each round. Therefore, the equation is


P((1)/(2))^n

Where P is the initial number of teams. This is an exponential equation.

6) Similarly, if n is the number of months, the butterfly population is modeled by the equation


P(2)^n

An exponential equation.

The answers are options 2, 5, and 6 (top to bottom)

User Mustapha Aoussar
by
4.7k points