The table represents an exponential function. What is the multiplicative rate of change of the function?

Step-by-step explanation:

All we are doing here is solving for the b in

, which is the standard form for an exponential function.

Use the first 2 coordinate pairs to solve for b: (1, 6) and (2, 4):

so

and use that when you write the next equation using the next coordinate pair:

which simplifies to

4 = 6b so

, the second choice there. Another way of saying multiplicative rate is the rate of decay or the rate of growth. Same thing. This is decay since 2/3 is greater than 0 but less than 1.

ipuy6tygy

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is