Solve the following real-life problem involving a linear polynomial: “A postman…
MATHEMATICS · Multi-part · CBSE · Mathematics · Algebra Play · Algebra Play
Problem
Solve the following real-life problem involving a linear polynomial:
“A postman starts his round with a sack weighing 18 kg. After delivering identical letters, the weight of the sack in kilograms can be modelled by W(n)=18−0.12n, where n is the number of letters delivered.”
(i) Determine the number of letters that must be delivered for the sack to become weightless.
(ii) Write the corresponding ordered pair that represents this point on the graph of y=W(n).
(iii) If the postman can deliver 200 letters in one hour, calculate how long (in minutes) it will take until the sack is empty.