A stock valued at $100 decreases in value by 9.5% each year? What is the function?

The function which represents the situation is

Percentage decrease per year = 9.5%

= 9.5/100

= 0.095

f(x) = 100 - 0.095^x

Therefore, the function which represents the situation is f(x) = 100 - 0.095^x

Learn more about exponential function:

link

the function is y= 100-0.095x

Step-by-step explanation:

Step one:

given data

A stock valued at $100 decreases in value by 9.5%

let the number of years be x

Step two:

Hence, the rate of decrease is 0.095

therefore the function is

y= 100-0.095x

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3