In 29 minutes of playing basketball, Aneudy would likely burn around 319 calories. This estimate is derived by examining the trend in the given data, where the relationship between time (x) and calories burned (y) appears to be roughly linear.
Linear interpolation is used to estimate values between two known data points. In this case, we have the data points (25, 275) and (30, 330) representing time (x) and Calories burnt (y) while playing basketball. The linear interpolation formula is applied to find the Caloric expenditure for 29 minutes.
The formula used is:
y = y₁ + (x - x₁).(y₂ - y₁) / (x₂ - x₁)
where x₁, y₁ are the known coordinates, x₂, y₂ are the next known coordinates, and x is the target value for which we want to find y.
Substituting the given values into the formula for x=29:
y=275+ (29−25)⋅(330−275) / (30-25)
Solving the expression gives y=275+ 4⋅55/5 = 275+44=319. Therefore, it is estimated that Aneudy would burn approximately 319 Calories by playing basketball for 29 minutes.