ASAPPPPP 45 POINTS HELP HELP DUE IN 2 AND A HALF HOURS

1. During week 0, calculate how many more ants there are in ant colony A than in ant colony B

2. Use the equation to identify the growth rate of ant colony A

3. Find the growth rate of ant colony B

4. Use 1-2 complete sentences to compare the growth rats of ant colony A with ant colony B.

Function: a(x)=210(1.12)^x

Day 0 1 2 3 4 5 6 7

# of ants 210, 235, 263, 295, 330, 370, 415, 464

growthrateof antcolonyAis 12%growthrateof antcolonyBis15%growthrateof antcolonyAis 3% less than that of antcolonyB.What is exponential growth function ?exponentialgrowthsees a rise inquantityovertime. When aquantity’sderivative, orinstantaneousrate of change with respect to time, isproportionateto thequantityitself, thisphenomenontakes place.colony A:difference: 210 – 190 = 20 antscolony Athan in antcolony BExponentialgrowthfunction: y= a(b)^xdecimalcolony Ais 3% less than that of antcolony B.exponentialgrowthfunctionvisit,more antsthere are inant colony Athan inant colony Bgrowth rateof antcolony Ais 12%growth rateof antcolony Bis 15%growth rateofant colony Ais 3% less than that ofant colony B.What is exponential growth function ?exponential growthsees a rise in quantity over time. When a quantity’s derivative, or instantaneousrate of changewith respect to time, is proportionate to the quantity itself, thisphenomenontakes place.exponential growth functionfrom the given link