Question

Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop and g(x) is the profits of a construction materials
business. Use the data to determine which function is exponential, and use the table to justify your answer.
f(x) g(x)
1995 $8,539.95 $10.751.61
2000 $13,047.20 $13,722.08
2005 $17,554.45 $17.577.05
2006 $18,455.90 $18,455.90
2007 $19,357 35 $19,378.70
2010 $22,061.70 $22,433.27
f(x) is exponential, an exponential function increases more slowly than a linear function
f(x) is exponential; f(x) increased more overall than g(x).
g(x) is exponential, an exponential function increases faster than a linear function,
g(x) is exponential: g(x) has a higher starting value and higher ending value.

Answer 1

Answer:

I think it is g(x) is exponential; an exponential function increases faster than a linear function.

Step-by-step explanation:

Answer 2

g(x) is exponential because its slope increases throughout.

Step-by-step explanation:

Given :

   x                       f(x)                         G(x)

1995                $8539.95             $10751.61

2000               $13047.20            $13722.08

2005               $17554.45            $17577.05

2006               $18455.90            $18455.90

2007               $19357.35             $19378.70

2010                $22061.70            $22433.27

Solution :

To find which fuction is exponential we can use slope formula,

$\rm m=\dfrac{y_2-y_1}{x_2-x_1}$

Now, we can see that slope of f(x) is (901.45) constant throughout.

Whereas slope of g(x) increases throughout.

Therefore, g(x) is exponential because its slope increases throughout.

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https://brainly.com/question/18491580?referrer=searchResults