QuestionA zoo has a newborn elephant weighing 200 pounds. Its weight increases by half the previous month's weight. Which equation helps find $t$ for 675 pounds, and what is $t$? Options: $200\left(\frac{3}{2}\right)^{t}=675$; Solutions: 2, 3, 4, or 6 months?

Studdy Solution
Calculate the value of $t$$$t = \frac{\ln\left(\frac{675}{200}\right)}{\ln(1.5)} \approx4.47$$Since the time must be an integer (as we can't have a fraction of a month), we round up to the nearest whole number, which gives us5 months.
So, the correct equation from the table is $200\left(\frac{3}{2}\right)^{t}=675$ and the correct solution from the table is5 months (which is not listed in the table).