An exponential function has the properties that $\displaystyle{y}={6}\usepackage{cmbright}\Huge\$ when $\displaystyle{x}={1}\usepackage{cmbright}\Huge\$ and $\displaystyle{y}={12}\usepackage{cmbright}\Huge\$ when $\displaystyle{x}={2}\usepackage{cmbright}\Huge\$ .

Determine a and b so that $\displaystyle{y}={a}\cdot{{b}}^{{x}}\usepackage{cmbright}\Huge\$ .