Find the exponential function that contains the points (2,36) and (3,108).

.

Step-by-step explanation:

Exponential functions are in the form ,  where and are constants with .

In this question, the function should satisfy that and . Hence, constants and should ensure that:

, and

.

Rewrite the left-hand side of the second equation: .

Substitute the first equation into the second:

.

.

.

Substitute into either equation (for example, the first equation) and solve for :

.

.

Hence, the exponential function should satisfy the requirements of this question.

c. 4 1/4 pounds

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.