Day 1 2 3 4 5 6
Colonies 120 225 544 774 1122 1819

A sample of bacteria colonies is growing at an exponential rate, as shown in the table. Find an exponential regression curve for the data.
A) y = 98.2(1.05x)
B) y = 81.8(1.71x)
C) y = 65.8(1.98x)
D) y = 101.2(1.65x)

The answer is B

Step-by-step explanation:

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.