The formula y=1+1.5ln(x+1) models the average number of free-throws a basketball player can make consecutively during practice as a function of time where x is the number of consecutive days the basketball player has practiced for two hours. After 105 days of practice, what is the average number of consecutive free-throws the basketball player makes? Round to the nearest whole number. A. 12 consecutive free-throws B. 8 consecutive free -throws C. 11 consecutive free -throws D. 9 consecutive free-throws

the average number of consecutive free-throws the basketball player makes after 105 days of practice, we need to substitute x = 105 into the given formula and simplify.Given formula: Substitute x = 105: Now, we need to calculate the value of and then multiply it by 1.5.Using a calculator, we find that .Substitute this value into the equation: Rounding to the nearest whole number, we get y ≈ 7.Therefore, the average number of consecutive free-throws the basketball player makes after 105 days of practice is approximately 7.The correct answer is B. 8 consecutive free-throws.