Practice Applications Of Linear Functions (8) - Linear Functions - IB 10 Mathematics – Group 5, Algebra
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Applications of Linear Functions

Practice - Applications of Linear Functions

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Practice Questions

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Question 1 Easy

Write the equation of a linear function where a taxi charges a flat fee of $6 and $3 per kilometer.

💡 Hint: Identify the fixed cost and variable cost.

Question 2 Easy

If a plant grows 2 cm each day, what is the linear function that describes its height after x days, starting at 6 cm?

💡 Hint: Combine the growth rate with the initial height.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

If a taxi charges $10 base fee and $2 per kilometer, what is the proper function for total cost?

C(x) = 2x + 10
C(x) = 10x + 2
C(x) = 10 + 2x

💡 Hint: Identify the components of a linear function here.

Question 2

True or False: The slope of the line represents the fixed cost in a linear function.

True
False

💡 Hint: Think about what each part of the function represents.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A gym charges a monthly fee of $30 plus $2 for each class attended. Write a function for the total cost after x classes.

💡 Hint: Combine the monthly fee with the per-class cost.

Challenge 2 Hard

A research study claims that a substance's temperature decreases linearly from its boiling point over time. If it starts at 100 degrees Celsius and drops to 80 degrees in 10 minutes, write a function to model its temperature over time.

💡 Hint: Identify the initial temperature and the rate of change.

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