Write the equation for an exponential function, in the form y = axbX, Whose graph passes through the coordinate points (1,7.5) and (3,16.875).
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Answer:
y = abˣ
(a ≠ 0, b ≠ 0)
(1, 7.5)
x = 1
y = 7.5
↓
7.5 = ab
(3, 16.875)
x = 3
y = 16.875
↓
16.875 = ab³
7.5 = ab
b b
7.5/b = a
16.875 = ab³
b³ b³
16.875/b³ = a
7.5/b = 16.875/b³
7.5/b(b³) = 16.875/b³(b³)
7.5b² = 16.875
7.5 7.5
b² = 2.25
√(b²) = √(2.25)
b = 1.5
a = 7.5/b
a = 7.5/1.5
a = 5
y = 5(1.5)ˣ
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