Find the missing values for the exponential function represented by the table below. x values: -2, -1, 0, 1, 2 y values: 7, 10.5, 15.75, a. 10.5 7 b. -23.625 -35.4375 c. 23.625 35.4375 d. -23.625 35.4375

1) table

 x        y

-2       7

-1       10.5

0         15.75

1           ?

2           ?

2) exponential model => y = a (b^x)

2.1) x = 0, y = 15.75 => 15.75 = a (b^0)

=> 15.75 = a * 1

=> a = 15.75

2.2) x = - 1, y = 10.5

10.5 = 15.75 (b^ - 1)

=> 10.5 = 15.75 / b

=> b = 15.75 / 10.5

=> b = 1.5

2.3) y = a (b^x) = 15.75 (1.5)^ x

=> model: y = 15.75 (1.5)^x

3) x = 1 =>

y = 15.75 (1.5)^ 1 = 15.75 (1.5) = 23.625

4) x = 2 =>

y = 15.75 (1.5)^2 = 35.4375

option c. 23.625 35.4375