First we need to determine the type of progression in the question.That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progressionr = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rulea₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progressiona₁ = 2
Final answer:Recursive rule

a₁ = 2
X=number of adults, y= number of students
x+y=12
18x+12y=162
You can simplify the second equation by dividing by six: 3x+2y=27
Rearrange the first equation: y= 12-x. Plug y into the simplified second equation:
3x+2(12-x)=27
3x-2x+24=27
x=3.
Plug the now known x value into y=12-x. So y= 9.
Therefore, there are 3 adults and 9 students.
Answer: D) The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.
Step-by-step explanation:
In the table shown, the estimated time for language arts is greater than the estimated time for math. They can answer 25 math questions in 87 minutes, whereas for language arts, they take 88 minutes to answer 20 questions. Therefore, the slope for LA is greater than the slope for Mathematics. Hope this helps :)