Each year, a daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula an = 1.5(2n-1)-100
represents the number of daylilies, a, on the farm after n years. After the fifth year, the farmers estimate
they have 2,225 daylilies. How many daylilies were on the farm after the first year?

  600

Step-by-step explanation:

We can solve the recursive formula for the previous term in terms of the present one:

  a[n-1] = (a[n] +100)/1.5

Working backward, we find ...

  a[4] = (a[5] +100)/1.5 = (2225 +100)/1.5 = 1550

  a[3] = (1550 +100)/1.5 = 1100

  a[2] = (1100 +100)/1.5 = 800

  a[1] = (800 +100)/1.5 = 600

There were 600 daylilies on the farm after the first year.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.