Mr. Jones estimates his profit starting in 2006 will be given by the formula P=7t^2-14t+10 where t is number of years and P is the profit.If this formula is c

Question

If this formula is correct, when will Mr. Jones have a profit of more than $1000.00?  I am told the answer is in 2019 but can not get it to come out to that. can you help show me what I am missing? Thank you

Answer 1

Hi Roseland,

 

          Mr. Jones estimates his profit starting in 2006 will be given by the formula P=7t^2-14t+10 where t is number of years and P is the profit.

       The key here is the variable t which is stated in the problem is the number of years starting in 2006.

So if we convert the problem statement into an equation we have 7t²-14t+10>1000. The positive solution of this equation is t>12.2 years which we have to add to 2006 and we get 2018 which is what I think the answer is based the information given.

Regards

Jim