The jeweler estimates the total number of beads he needs and compares the amount to 19,000. 200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400 which explains whether or not the teacher’s conclusion is correct? a. the teacher did not use the distributive property correctly. 200 × 89 = (200 + 8) × (200 + 9) = 208 × 209 = 43,472 the total cost of the monitors is $43,472, which is more than $15,000. so, the teacher's conclusion is not correct. b. the teacher did not use the distributive property correctly. 200 × 89 = (200 × 89) + (1 × 89) = 17,800 + 89 = 17,889 the total cost of the monitors is $17,889, which is more than $15,000. so, the teacher's conclusion is not correct. c. the teacher did not use the distributive property correctly. 200 × 89 = (200 × 80) + (200 × 9) = 16,000 + 1,800 = 17,800 the total cost of the monitors is $17,800, which is more than $15,000. so, the teacher's conclusion is not correct. d. the teacher used the distributive property correctly to show that the total cost of the computers is $3,400, which is less than $15,000. so, the teacher's conclusion is correct.