Question

Henrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate of the bacteria cells was 3.2%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 35 h from the time Henrietta started the experiment. I need help asap please

Answer 1

• See below

Explanation:

Given

• Initial number of bacteria = 800
• Growth rate = 3.2% = 1.032 times

Required equation:

• B(t) = 800(1.032)^t, where B- number of bacteria, t- time in hours

The y-intercept is:

• B(0) = 800*1.032^0 = 800
• The point (0, 800)

Bacteria population 35 in hours:

• B(35) = 800*1.032^35 = 2409
• The point (35, 2409)