Which function grows at the fastest rate for increasing values of x?

g(x)=50x+35

f(x)=5⋅3x

h(x)=6x2+5x+20

B.

Step-by-step explanation:

We have been given 3 function formulas and we are asked to choose the function that grows at the fastest rate for increasing values of x.    

Since we know that quadratic function grows faster than a linear function and an exponential function grows faster than a quadratic function, so the function of an exponential function will have the fastest rate for increasing value of x.

Since an exponential function is in form: .

Upon looking at our given choices we can see that function represented by option A is a linear function and function represented by option C is a quadratic function.

Upon looking at our given choices we can see that function: is an exponential function, therefore, option B is the correct choice.

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5