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Initially, 40 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 11 hours.

How can this information be interpreted?

Select True or False for each statement.

The scenario can be modeled by the function f(x)=40(3)x11 , where f(x) represents the population of bacteria x hours after the bacteria are placed in the Petri dish.
(True or False)

After 4 hours, there are approximately 60 bacteria.
(True or False)

true

step-by-step explanation:

your answer would be b

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form