Answer:
f(x) = 3(2)^x
Step-by-step explanation:
The Table is:
<u>x</u> <u>f(x)</u>
-2 3/4
-1 3/2
0 3
1 6
2 12
The exponential funtion has the next form:
f(x) = a(b)^x
At x = 0, f(x) = a. Then, a = 3
Isolating b from the equation:
f(x)/a = b^x
ln(f(x)/a) = x*ln(b)
[ln(f(x)/a)]/x = ln(b)
At x = 1, f(x) = 6. Then:
[ln(6/3)]/1 = ln(b)
ln(2) = ln(b)
2 = b
Therefore, the function is f(x) = 3(2)^x
Answer:
11.75 feet
Step-by-step explanation:
17 times 12 = 204 inches
204 - 63 = 141 inches
141/12 = 11.75 feet