Question

Suppose the data below are the result of a study of a medication used to fight a certain bacteria. The x column represents the number of hours after the medication was introduced to the bacteria and the y column represents the number of bacteria present. Use the data in the table below to answer each question.
1. What does the scatterplot of the data show?
a. A strong positive linear relationship
b. A strong negative linear relationship
c. A curve that represents exponential growth
d. A curve that represents exponential decay

2. Complete an exponential transformation on the y-values. What is the new value of y when x = 5?
a. 1.301
b. 0.699
c. 1.4472
d. 1.1761

3. Find the linear transformation model.
a. Log y^ (y-hat) = -12.1667x + 84.8333
b. Log y^ (y-hat) = 84.8333x – 12.167
c. Log y^ (y-hat) = -0.1375x + 1.9978
d. Log y^ (y-hat) = 1.9978x – 0.1375

4. Predict the number of bacteria present for 12 hours.
a. 0.35
b. 2.23
c. -61
d. 0

Answer 1

Hello there.

4. Predict the number of bacteria present for 12 hours.

b. 2.23

Answer 2

1. What does the scatterplot of the data show?
d. A curve that represents exponential decay

2. Complete an exponential transformation on the y-values. What is the new value of y when x = 5?
a. 1.301

3. Find the linear transformation model.
c. Log y^ (y-hat) = -0.1375x + 1.9978

4. Predict the number of bacteria present for 12 hours.
b. 2.23