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 bacteria cells recorded by Andy in his experiment is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment. The number of bacteria cells recorded by Samantha in her experiment is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment. Using graphing technology, complete the statements.

Answer 1

"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

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

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