Given:
The given function is:
Where Y represents the number of bacteria present at time t minutes.
To find:
The time taken by bacteria population to reach 100 bacteria.
Solution:
We have,
Putting , we get
Divide both sides by 25.
Taking ln on both sides, we get
Divide both sides by 3.
Therefore, the required time is minutes.
Answer:
50x + 15 = y
Step-by-step explanation:
You have to find the flat cost by multiplying the 50 by 5, and then plugging that in for your first constant, and then solve by subtracting that from 265 to get your flat rate, and then put it all together. (see attachment for details)
Answer:
(4,3),y=(7)/(4)x+1
Step-by-step explanation:
To find an equation that is parallel to y = 7 4 x + 1 y=74x+1, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula. ( 4 , 3 ) (4,3) m = 7 4
Using the point-slope form y − y 1 = m ( x − x 1 ) y-y1=m(x-x1), plug in m = 7 4 m=74, x 1 = 4 x1=4, and y 1 = 3 y1=3. y − ( 3 ) = ( 7 4 ) ( x − ( 4 ) )
Solving for y:
Multiply − 1 -1 by 3 3. y − 3 = ( 7 4 ) ( x − ( 4 ) ) y-3=(74)(x-(4)) Simplify ( 7 4 ) ( x − ( 4 ) ) (74)(x-(4)).
y − 3 = 7 x 4 − 7
y = 7 x 4 − 4 y=7x4-4 Reorder terms. y = 7 4 x − 4
