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:
The function with the largest value will be [tex]f(x)=1.5^{x}[/tex]
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) [tex]f(x)=1.5^{x}[/tex]
For x=30
[tex]f(30)=1.5^{30}=191,751.06[/tex]
case 2) [tex]h(x)=1.5x^{2}[/tex]
For x=30
[tex]h(30)=1.5(30)^{2}=1,350[/tex]
case 3) [tex]g(x)=1.5x+3[/tex]
For x=30
[tex]g(30)=1.5(30)+3=48[/tex]
case 4) [tex]k(x)=1.5x^{3} +1.5x^{2}[/tex]
For x=30
[tex]k(30)=1.5(30)^{3} +1.5(30)^{2}=41,850[/tex]
therefore
The function with the largest value will be [tex]f(x)=1.5^{x}[/tex]
As x increases beyond 25, the function that will have the largest value is f(x) = 1.5ˣ
An equation is an expression that shows the relationship between two or more numbers and variables.
x increases beyond 25, let x = 26, hence:
a) f(26) = 1.5²⁶ = 37876.75
b) h(26) = 1.5(26)² = 1014
c) g(26) = 1.5(26) + 3 = 42
d) k(26) = 1.5(26)³ + 1.5(26)² = 27378
As x increases beyond 25, the function that will have the largest value is f(x) = 1.5ˣ
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