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Based on the calculations, a good approximation for x when f(x) = 30 is equal to: B. 20.
<h3>How to write the equation?</h3>
Based on complete information, the equation for the line of best fit for the set of values in the table is given by this function below:
f(x) ≈ 1.8x - 5.4
Thus, a good approximation for x when f(x) = 30 would be determine by substituting the value of f(x) with 30 as follows:
30 = 1.8x - 5.4
30 + 5.4 = 1.8x
35.4 = 1.8x
x = 35.4/1.8
x = 20.
Read more on line of best fit here: brainly.com/question/4674926
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<u>Complete Question:</u>
The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table. Using the equation for the line of best fit, what is a good approximation for x when f(x) = 30?
A. 14
B. 20
C. 45
D. 54
Answer:
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Answer:
3573.64
Explanation:
y=ab^x
a=starting value = 19000
r=rate = 11.25%=0.1125
Exponential Decay:
b=1-r=1-0.1125=0.8875
Write Exponential Function:
y=19000(0.8875)^x
Plug in time for x:
y=19000(0.8875)^14
y= 3573.6388855
Evaluate :
y≈3573.64
