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Luda [366]
3 years ago
10

How would u write this equation?

Mathematics
2 answers:
Romashka [77]3 years ago
6 0

Answer:

Step-by-step explanation:

y=a*b^x

pass thro' (1, 7.5) n (3, 16.875)

at x=1, y=a*b=7.5

at x=3, y=a^b^3=16.875

dividing, a*b^3/a*b=16.875/7.5

b^2=2.25

b=+1.5 or -1.5

a=7.5/b

a=5 or -5

y=5*(1.5)^x

or

y=(-5)*(-1.5)^x

stich3 [128]3 years ago
4 0

Answer:

y=5x1.5^x or y=-5x(-1.5)^x

Step-by-step explanation:

Given y=axb^x  and it passes through (1, 7.5) n (3, 16.875)

7.5=axb

so a=7.5/b

16.875=axb^3

substitute a into the equation

16.875=7.5/bxb^3

16.876/7.5=b^3/b

2.25=b^2

b=+/-1.5

a=7.5/b

=+/-5

y=5x1.5^x or y=-5x(-1.5)^x

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Well, because we know what y equals, we simply plug in 3 for y in the given equation.

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x + (3) = 8

Subtract 3 from both sides.

x = 8 - 3

So, x = 5

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Check work by plugging in x and y in the given equation.

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8 = 8

So, our answer is (5, 3)

I am quite sure that you have given us the wrong equations, as none of these answers are correct.

~Hope I helped!~
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hope this helps
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