If someone could help?? I've been working on this problem for quite some time and I can't get it!
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
yep... agree ^^^
what about finding the 9th?
once you have the values for a and b, plug in x=9 into the equation to get the y value.
but you do need to solve for a and b first.
so the one of them, a and b would be (398)=(a)(b)^x or a=398 and b=1?
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.
using the second point (2, 398), what's the equation?
398=(a)(b)^2
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...
a= 299.05 b= 1.15
ok... use those values for \(\large y=a \cdot b^x \) now you can calculate the attendance at game #9 (x=9)...
thanks!
yw... :)
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