The students in Mr. Nolan's class are writing expressions for the perimeter of a rectangle of side length & and width w. After they share their answers, the following expressions are on the board:
Sam: 2(l+ w)
Joanna: l+w+l+w
Kiyo: 2l+ w
Erica: 2w + 2l

Which of the expressions are correct and how might the students have been thinking about finding the
perimeter of the rectangle?

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )