Question

As x increases beyond 25 which function will have the largest value? A. f(x)= 1.5x ) B. h(x)= 1.5x squared) C. g(x)= 1.5x+3,) D. k(x)=1.5x to the third + 1.5x squared) explain and show work please ​

Answer 1

Answer:

The function with the largest value will be $f(x)=1.5^{x}$

Step-by-step explanation:

we know that

As x increases beyond 25 , that means

x> 25

so

Assume  x=30

Substitute the value of x in each equation and find the value of the function, and then compare the results

case 1) $f(x)=1.5^{x}$

For x=30

$f(30)=1.5^{30}=191,751.06$

case 2) $h(x)=1.5x^{2}$

For x=30

$h(30)=1.5(30)^{2}=1,350$

case 3) $g(x)=1.5x+3$

For x=30

$g(30)=1.5(30)+3=48$

case 4) $k(x)=1.5x^{3} +1.5x^{2}$

For x=30

$k(30)=1.5(30)^{3} +1.5(30)^{2}=41,850$

therefore

The function with the largest value will be $f(x)=1.5^{x}$