Which of these values for Pand a will cause the function f(x)=Pa* to be an
exponential growth function?
O A. P=6; a = 1/8
O B. P = 6; a = 1

c. P= 1/6; a=8

D. p= 1/6; a= 1/8

c. P= 1/6; a=8

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

where

P is the initial value or y-intercept (this vale cannot be equal to zero)

a is the base of the exponential function ( in a exponential growth function the value of a is greater than 1)

Verify each case

case A) P=6; a = 1/8

Is not a exponential growth function, because a < 1 (is a decay exponential function)

case B) P=6; a = 1

Is not a exponential function

case C) P= 1/6; a=8

Is a exponential growth function, because a > 1 and P is not zero

case D) P=1/6; a = 1/8

Is not a exponential growth function, because a < 1 (is a decay exponential function)

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for