Dr. silas studies a culture of bacteria under a microscope. the function b1 (t)=1200(1.8)^t represents the number of bacteria t hours after she begins her study.
(a) what does the value of 1200 represent in this situation?
(b) what is the percent of growth or decay?
(c) approximately how many bacteria are present at t= 5hours?
(d) the number of bacteria in a second study is modeled by the function b2 (t)=1000(1.8)^t. will the bacteria present in both studies ever be equal for a certain value of t? why or why not?

A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.

C. C’ will remain in the same location as C because it is on the line of reflection.

D. The image and the pre-image will be congruent triangles.

Step-by-step explanation:

A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.

This option is TRUE. When we reflect a shape in the line y=xy=x , we just have to swap the x and y coordinates.

B. .Clayton could negate both the x and y values in the points to find the points of the image.

False; This is a rotation of 180\degree180° about the origin.

C. C’ will remain in the same location as C because it is on the line of reflection.

This statement is True

C’ will move because all points move in a reflection.

This statement is false because,C(2,2) and C'(2,2) will have the same coordinate.

D. The image and the pre-image will be congruent triangles.

This is TRUE because reflection is a shape preserving transformation(rigid motion).

E. The image and pre-image will not have the same orientation because reflections flip figures.

This is False