E: create a recursive function to model the table of values. in that function, the year 2013 is the first data point, so n = 1 for 2013. this means f(1) = 125 is the first term of the sequence, and r is the constant factor by which the number increases every year.

f: rewrite the recursive equation that you got in part e as an explicit equation where the initial value is a and the time elapsed is n years.

year 2013 2014 2015 2016

population of butterflies 125 150 180 216

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

if you're trying to figure out how much each ounce cost it would be 0.20

cents each ounce

b.

step-by-step explanation: