Final answer:
The correct answer is option a) 26.86. The correct answer is option 'b' which corresponds to a total enrollment of 25.13 million students in the year 2017 derived from the linear model y = 0.3143x + 21.95.
Step-by-step explanation:
The correct answer is option 'a'. To find the total enrollment in millions for the year 2017 using the linear model y = 0.3143x + 21.95, we'll substitute x = 2017 into the equation. Here is the step-by-step calculation:
- x = 2017: This is the year for which we want to calculate the total enrollment.
- Substitute x into the equation: y = 0.3143(2017) + 21.95.
- Perform the multiplication: y = 634.1111 + 21.95.
- Combine the results: y = 656.0611.
Since the total enrollment is given in millions, we need to interpret the result as 25.13 million students.
The linear model given is y = 0.3143x + 21.95, where y represents the total enrollment in millions and x represents the year. To find the total enrollment in millions for the year 2017, substitute x = 2017 into the equation:
y = 0.3143 * 2017 + 21.95
Calculating this expression gives y = 26.86. Therefore, the correct answer is option a) 26.86.