Algebra I.3.D.21 - Comparing Linear and Exponential Functions Again – Exit Ticket

Last updated about 4 years ago

5 questions

Here is a classic riddle.

Mr. Smith has an apple orchard. He hires his daughter, Lucy, to pick apples and offers her two payment options.

Option A: $1.50 per bushel of apples picked.
Option B: 1 cent for picking one bushel, 3 cents for picking two bushels, 9 cents for picking three bushels, and so on, with the amount of money tripling for each additional bushel picked.

Algebra I.3.D.21 - Comparing Linear and Exponential Functions Again – Exit Ticket

Last updated about 4 years ago

5 questions

Here is a classic riddle.

Mr. Smith has an apple orchard. He hires his daughter, Lucy, to pick apples and offers her two payment options.

Option A: $1.50 per bushel of apples picked.
Option B: 1 cent for picking one bushel, 3 cents for picking two bushels, 9 cents for picking three bushels, and so on, with the amount of money tripling for each additional bushel picked.

Write a function to model Option A:

Write a function to model Option B:

If Lucy picks six bushels of apples, which option should she choose?

If Lucy picks 12 bushels of apples, which option should she choose?

How many bushels of apples does Lucy need to pick to make option B better for her than option A?

From EngageNY.org of the New York State Education Department. High School 1 Algebra, Module 3, Topic D, Lesson 21. Internet. Available from https://www.engageny.org/resource/algebra-i-module...; accessed 28/Oct/2015.