Answer:
y = (-1/5)x - 9
Step-by-step explanation:
15y = -3x - 135
Divide both sides by 15
y = (-1/5)x - 9
Given:
The growth of a sample of bacteria can be modeled by the function

where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,

Here, b(t) number of total bacteria after t hours.
Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.



Therefore, the number of total bacteria after 3 hours is 119.1016.
<h3>
Answer: Yes it is a function.</h3>
Reason:
There are no repeated x values, so each x input leads to exactly one y output. That's why we have a function.
If we had something like (1,18) and (1,12), then the input x = 1 leading to simultaneous outputs y = 18 and y = 12 would mean we wouldn't have a function.
Answer:
The constant rate of change is 1.5
The point that intersects the y axis is (0,0)
Step-by-step explanation:
Constant rate of change: y2-y1/x2-x1
(1,1.5) (2,3)
3-1.5=1.5
2-1=1
1.5/1=1.5
Constant rate of change is 1.5
Hope this helps!