If the number of bacteria in a colony triples every 60 minutes and the population is currently 2,000 bacteria, what will the population be in 240 minutes and is the growth modeled by a linear function or a exponential function?

The population in 240 minutes is 162,000 bacterias and the growth is modeled by a exponential function.

Step-by-step explanation:

An exponential function is one in which the independent variable x appears in the exponent and is based on a constant a. Its expression is:

f(x)=aˣ

An exponential function, therefore, allows us to refer to phenomena that grow faster and faster. For example, the case of the development of a bacterial population: a certain species of bacteria that, every hour, triples its number of members.

The growth is modeled by exponential function.  If the bacteria are tripled every hour, the base is 3, while the exponent is the change in time. Then:

f(x)=2,000*3ˣ

If

x=4

f(x)=2,000*3⁴

f(x)=162,000

The population in 240 minutes is 162,000 bacterias and the growth is modeled by a exponential function.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.