Answer:
t ≥0
Step-by-step explanation:
Given the information:
The initial population: 500
The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,
=> our function is: P(t) =500* where b is the base number and it is ≥0
The domain of exponential functions is all real numbers greater than zero
<=> t ≥0 (because t present for the time and time can not have negative value)
t is the independent variable is this exponential function and the population of bacteria depends on the change of t.
Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)
Hope it will find you well.
Answer:
c)
Step-by-step explanation:
Equation for regression line of y on x is given as
where
= predicted value
m = slope of line
b = intercept
m and b are found as
r = correlation coefficient = 0.88
Sx = standard deviation for independent variable x = 13
Sy = standard deviation for dependent variable y = 27
= mean value of independent variable x = 21
= mean value of dependent variable y = 55
Substituting these values in (2) and (3)
Putting these values of m and b in (1)