Rachel and Hannah are both solving the equation 3x=243
.
Rachel knows the solution to the equation because she knows a power of 3
that equals 243
.
Hanna does not know a power of 3
that equals 243
, so she graphs two equations, y=3x
and y=243
.
Use the drop-down menus to complete the explanation about how Hanna can use her graph to solve the equation 3x=243
.
A graph of two equations. There is a horizontal line labeled y = 243. There is a curve labeled y = 3 raised to the x power. The curve approaches 0 as x heads to negative infinity. The curve intersects y = 243 at x = 5.
CLEAR CHECK
The graphs intersect at
, so the solution to 3x=243
is x=
.