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.

x f(x) g(x)
1995 $69,682.50 $72,429.27
2000 $78,943.50 $79,967.77
2005 $88,204.50 $88,290.88
2006 $90,056.70 $90,056.70
2007 $91,908.90 $91,857.83
2010 $97,465.50 $97,480.27
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; g(x) has a higher starting value and higher ending value.
g(x) is exponential; an exponential function increases faster than a linear function

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.

x	f(x)	g(x)
1995	$69,682.50	$72,429.27
2000	$78,943.50	$79,967.77
2005	$88,204.50	$88,290.88
2006	$90,056.70	$90,056.70
2007	$91,908.90	$91,857.83
2010	$97,465.50	$97,480.27
 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; g(x) has a higher starting value and higher ending value.
 g(x) is exponential; an exponential function increases faster than a linear function