A certain kind of animal weighs about 73 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine those days for which the animal's weighs more than 121 pounds.
The animal's weight is more than 121 pounds when the animal is more than__ days old.
You have an arithmetic sequence with
a = 73 , and d = 2
term(n) = a + (n-1)d
so solve
73 + 3(n-1) >121
24
To determine the number of days for which the animal's weight is more than 121 pounds, we need to find the number of days it takes for the animal to reach a weight of 121 pounds or more.
Given that the animal weighs 73 pounds at birth and gains 2 pounds per day for the first few weeks, we can use the equation:
Weight = 73 + 2 * number_of_days
We need to find the number of days when the weight is greater than 121 pounds. So, we need to solve the equation:
121 < 73 + 2 * number_of_days
To solve for number_of_days, we need to isolate the variable:
2 * number_of_days > 121 - 73
2 * number_of_days > 48
Divide both sides by 2:
number_of_days > 48 / 2
number_of_days > 24
Therefore, the animal's weight is more than 121 pounds when the animal is more than 24 days old.