Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Andy and Samantha are performing an experiment in a science lab. The number of bacterial colonies recorded by Andy in his experiment is represented by the equation below, where B represents the number of bacterial colonies, x hours after beginning the experiment. B = 6x + 5 The number of bacterial colonies recorded by Samantha in her experiment is represented by the equation below, where B represents the number of bacterial colonies, x hours after beginning the experiment. B = 2x + 3 Using graphing technology, complete the statements. After hours, the total number of bacterial colonies for both experiments will be the same. The total number of bacterial colonies at that time will be .

Answer 1

Answer:

"Andy will record 6x + 5 bacteria cells

while Samantha will record 2^x + 3 bacteria cells.

These will be equal at a time when:6x + 5 = 2^x + 3

both of these shows that they are equal when x = 5 and y = 35.

the number of bacteria cells will be equal at 35, at t = 5 hours."

Answer 2

After 5 hours, the total number of bacterial colonies for both experiments will be the same. The total number of bacterial colonies at that time will be 35

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and point.

What is Coordinate system?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Given,

Number of bacterial colonies recorded by Andy = 6x + 5

x is the number of hours

Number of bacterial colonies recorded by Samantha = $2^{x}+3$

We have to find the time at which both of them will be equal

Therefore

$6x+5 = 2^{x}+3$

Plot the graph using the equation

From the graph we can say that both of them are equal at x = 5 and the number of bacterial colonies is 35

Hence, after 5 hours, the total number of bacterial colonies for both experiments will be the same. The total number of bacterial colonies at that time will be 35

Learn more about Graph and Coordinate system here

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