An exponential function passes through the points (0, 300) and (3, 153.6). Which model represents the...
a. f(x) = 300(0.512)^x
b. f(x) = 300(1.25)^x
c. f(x) = 153.6(0.80)^x
d. f(x) = 300(0.80)^x
Answer: d. f(x) = 300(0.80)^x
Explanation: An exponential function can be represented as f(x) = a(b)^x, where a is the initial value and b is the base. Given the point (0, 300), the initial value a is 300. To find b, use the point (3, 153.6):
153.6 = 300(b)^3
0.512 = b^3
b = 0.80
Thus, the function is f(x) = 300(0.80)^x.
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