Using x = 1 to represent the year 1986 and y to represent the number of new stores, write the exponential equation for these data. Round all values to the nearest thousandth.

Question

The accompanying table shows the number of new stores in a coffee shop chain that opened during the years 1986 through 1994.

Year	Number of New Stores
1986	14
1987	27
1988	48
1989	80
1990	110
1991	153
1992	261
1993	403
1994	681

 

Using x  = 1 to represent the year 1986 and y to represent the number of new stores, write the exponential equation for these data. Round all values to the nearest thousandth. 

Answer 1

Using the Stat Plat in the TI calculator,

y = 22X^2 -158.4X -305.5 is the exponential equation.

For x = 10, i.e. 1995, the number of new stores is 922.