During science class, Teo, Carson, and Dhakir measure the length of their bean sprouts. Carson’s sprout is 0.9 times the length of Teo’s, and Dhakir’s is 1.08 times the length of Teo’s. Whose bean sprout is the longest? The shortest? Explain your reasoning.
Accepted Solution
A:
Answer:The longest is Dhakir’s sproutThe shortest is Carson’s sproutStep-by-step explanation:Let x -----> the length of Carson’s sprouty ----> the length of Teo’s sproutz ----> the length of Dhakir’s sproutwe know thatx=0.9y -----> equation Az=1.08y ----> equation BsoExpress all quantities as a function of the variable yThe length of Carson’s sprout is 0.9y (equation A)The length of Teo’s sprout is yThe length of Dhakir’s sprout is 1.08y (equation B)Compare1.08y > y > 0.9ythereforeThe longest is Dhakir’s sproutThe shortest is Carson’s sprout