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

Last updated over 4 years ago

5 Nsɛmmisa

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 over 4 years ago

5 Nsɛmmisa

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?

Option A

Option B

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

Option A

Option B

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.