Question 1158364
given:  an exponential function in the form {{{y=ab^x}}}

that goes through points ({{{0}}}, {{{10}}}) and ({{{2}}}, {{{490}}})

{{{y=ab^x}}}.......plug in ({{{0}}}, {{{10}}})

{{{10=ab^0}}}

{{{10=a*1}}}

{{{a=10}}}

so far

{{{y=10b^x}}}......plug in ({{{2}}}, {{{490}}})

{{{490=10b^2}}}

{{{b^2=490/10}}}

{{{b^2=49}}}

{{{b=sqrt(49)}}}

{{{b=7}}}

your function is:{{{ y=10*7^x}}}