Karina has determined that the weight of a newborn elephant increases at a rate of 6% per week for the first 14 weeks. Sheneeds to determine how much weight a baby elephant will gain on the 14th week if it weighs 92 lbs. at birth. Write the explicitformula of the geometric sequence that could be used to model this scenario.

Accepted Solution

This is an exponential growth problem. The formula is y = a(1+r)^xY would be the final answera is the starting valuer is the percent of growthx is the amount of time ( number of weeks)The equation is:y(x) = 92(1.06)^xFor 14 weeks replace x with 14:y(14) = 92(1.06)^14 = 208 pounds.