Consider the following case of exponential growth. Complete parts(a) through(c) below.

Your starting salary at a new job is $1200

1200 permonth, and you get annual raises of 3

3% per year.

a. Create an exponential function of the form Upper Q equals Upper Q 0 times left parenthesis 1 plus r right parenthesis Superscript t

Q=Q0(1+r)t, (where rgreater than

>0 for growth and rless than

<0 fordecay) to model the monthly salary situation described.

Qequals

=

nothing

times

(

nothing

)Superscript t

t

(Type integers ordecimals.)

b. Create a table showing the value of the quantity Q for the first 10 years of growth.

Yearequals

=t

Salary(per month)

Yearequals

=t

Salary(per month)

0

$1200

1200

6

$

nothing

1

$

nothing

7

$

nothing

2

$

nothing

8

$

nothing

3

$

nothing

9

$

nothing

4

$

nothing

10

$

nothing

5

$

nothing

(Round to two decimal places asneeded.)

c. Make a graph of the exponential function. Choose the correct graph below.

A.

0

10

0

400

800

1,200

1,600

2,000

Year

Salary(dollars)

A coordinate system has a horizontal axis labeled Year from 0 to 10 in increments of 1 and a vertical axis labeled Salary (dollars) from 0 to 2000 in increments of 200. A curve rises from left to right at an increasing rate, passing through the points (0, 600) and (5, 700). All coordinates are approximate.

B.

0

10

0

400

800

1,200

1,600

2,000

Year

Salary(dollars)

A coordinate system has a horizontal axis labeled Year from 0 to 10 in increments of 1 and a vertical axis labeled Salary (dollars) from 0 to 2000 in increments of 200. A curve rises from left to right at an increasing rate, passing through the points (0, 1200) and (5, 1500). All coordinates are approximate.

C.

0

10

0

400

800

1,200

1,600

2,000

Year

Salary(dollars)

A coordinate system has a horizontal axis labeled Year from 0 to 10 in increments of 1 and a vertical axis labeled Salary (dollars) from 0 to 2000 in increments of 200. A curve rises from left to right at an increasing rate, passing through the points (0, 1200) and (5, 1400). All coordinates are approximate.

D.

0

10

0

400

800

1,200

1,600

2,000

Year

Salary(dollars)

A coordinate system has a horizontal axis labeled Year from 0 to 10 in increments of 1 and a vertical axis labeled Salary (dollars) from 0 to 2000 in increments of 200. A curve falls from left to right at a decreasing rate, passing through the points (0, 1800) and (5, 1600). All coordinates are approximate.

Click to select your answer(s).