Find the exponential model y = ae^{bx} that fits the points (0, 2)

bobbie71G

bobbie71G

Answered question

2021-09-22

Find the exponential model y=aebx that fits the points (0, 2) and (4, 3)

Answer & Explanation

SchepperJ

SchepperJ

Skilled2021-09-23Added 96 answers

Use the first point to fina a.
y=aebx
2=aeb0
2=a1
a=2
Use the second point to find b.
y=2ebx
3=2e4b
32=e4b
ln32=lne4b
4b=ln32
b=14ln32
Write the equation for the exponential model.
y=2ex4ln32
Result: y=2ex4ln32

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