Chapter 8, Problem 7MCQ

(a)

To determine

To find: The exponential function that could be used to model the population of the city $x$ years after $1995$ .

Answer to Problem 7MCQ

The exponential function is $y=45000{\left(1.035\right)}^x$ .

Explanation of Solution

Given:

The given information is:

The population was $45000$ in $1995$ .

In $2007$ , the population was $68000$ .

The exponential form is calculated as:

  m:math display='block'>45000(r)2007−1995=68000(r)12=6800045000r=(6800045000)112r=1.035

Therefore the exponential function that could be used to model the number of bacteria after $x$ hours is given as:

  $y=45000{\left(1.035\right)}^x$ .

(b)

To determine

To find: The total population in

Answer to Problem 7MCQ

The total number population in was

Explanation of Solution

To find the total number population in can be expected afteryears is calculated by substituting in the exponential function in the first part.

The number of bacteria can be expected afteryears is calculated is:

  

Therefore the total number population in was