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Mathematics 16 Online
OpenStudy (anonymous):

If someone could help?? I've been working on this problem for quite some time and I can't get it!

OpenStudy (anonymous):

OpenStudy (dumbcow):

i would start with exponential equation \[y = a*b^{x}\] then plug in 2 endpoints (1,345) and (5,604) solve for variables a,b

OpenStudy (anonymous):

yep... agree ^^^

OpenStudy (anonymous):

what about finding the 9th?

OpenStudy (anonymous):

once you have the values for a and b, plug in x=9 into the equation to get the y value.

OpenStudy (anonymous):

but you do need to solve for a and b first.

OpenStudy (anonymous):

so the one of them, a and b would be (398)=(a)(b)^x or a=398 and b=1?

OpenStudy (anonymous):

for the first "point": (1, 345) you have: \(\large y=a\cdot b^x \) or \(\large 345=a\cdot b^1 \) now plug in the second "point" to get another equation. from there you'll need to solve this system of equations.

OpenStudy (anonymous):

using the second point (2, 398), what's the equation?

OpenStudy (anonymous):

398=(a)(b)^2

OpenStudy (anonymous):

ok... good... 345 = a*b 398 = a*b^2 so now you have a system of two equations with two unknowns. you can use substitution to solve this system...

OpenStudy (anonymous):

a= 299.05 b= 1.15

OpenStudy (anonymous):

ok... use those values for \(\large y=a \cdot b^x \) now you can calculate the attendance at game #9 (x=9)...

OpenStudy (anonymous):

thanks!

OpenStudy (anonymous):

yw... :)

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