A particular bacterial colony grows so that its population is 10 times what it was 50 hours earlier. Scientists running an experiment start with 1,000 of these bacterial cells. They expect the number of cells to be given by the formula $\displaystyle{c}={1},{000}{{\left({10}\right)}}^{{\frac{{t}}{{50}}}}\usepackage{cmbright}\Huge\$ , where t is the number of hours since the experiment started. After how many hours would the scientists expect to have one million bacterial cells?

$\displaystyle{t}=\usepackage{cmbright}\Huge\$ _____ hours