Question

A rural county is seeing more and more of its agricultural land being converted to residential property. It is estimated that the increase I in the county's tax base, in hundreds of dollars, due to the zoning change, after t years can be described by the function, . At the end of 15 years, what is the annual rate of change in the county's tax base? Please explain step by step.

Group of answer choices

The tax base is increasing by $334,066 per year.

The tax base is increasing by $3305 per year.

The tax base is increasing by $72 per year.

The tax base is decreasing by $3708 per year.

Answer 1

di at x2 Giveni ICH): 4t vatti hendred dollars df (E) :: Rate of Change of fCE) - at Rate of change of tax base dt dI d ( 4t 12642) at V2tti d (4+)+4+ It It a 482tti & 4t 2r2t+1 .42€+1 + 46 T2671 At the end of 15 years i.e t= 15 = 4xVISY2+1+ VisX2 +1 - 33.05 hendred dollars lyear Cor) 3305 dollars [yeces ... At the end of 15 years the tax rate is increasing by $ 3305/ year i.e I option jp correct. 4815 at lt=15