The Zika virus originally started with 3 people. The number of people infected doubles every 2 hours. Part 1: Write an equation to model the situation.

Part 2: How many people are infected after 6 hours?

Part 3: How many people are infected after 2 days?

Part 1:

Part 2: There are 24 people infected

Part 3: P(48)=50,331,648

More than 50 million people are infected after 2 days

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

Where P(t) is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We know the Zika virus started with Po=3 people infected. The number of people infected doubles every 2 hours, which means that for t=2 hours, P(2)=6, thus:

Dividing by 3:

Solving for 1+r:

1+r=1.4142

Part 1:

The equation to model the situation is:

Part 2:

After t=6 hours:

P(6)=24

There are 24 people infected

Part 3:

After 2 days, t=2*24 = 48 hours:

P(48)=50,331,648

More than 50 million people are infected after 2 days

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c