41.7k views
1 vote
Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).

User Woosah
by
7.8k points

1 Answer

4 votes

Let
y=ab^x, as described in the problem statement. Plugging in
x=2 and
x=5 gives us the equations
18=ab^2 and
60.75=ab^5. Since
a,b are nonzero, we divide the second equation by the first to get
(27)/(8)=b^3, which means that
b=(3)/(2), after taking the cube root. Plugging this value for
b into the first equation, we now have
18=a(3/2)^2=(9a)/(4). Solving gives
a=8, and our desired exponential equation is
\boxed{y=8\left((3)/(2)\right)^x}.

User Waket Zheng
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories