(A) Unit 4A Test: Linear Relationships and Functions

Last updated about 1 year ago

7 questions

Use the graph, table, and equation below to answer each question.  Andre, Mai, and Shakira are competing to see who can save the most money in one month.

Which friend started with the smallest savings? __________

Who is saving the least amount of money per day? __________

Who will have the most money on Day 30? __________

Use the table and equation below to answer each question.  Mochi and Kappa are two baby pandas whose weight gain is being recorded over a period of time.

The equation that represents Kappa’s weight is y-5=3(x-1)

Who weighed more at birth? __________
Who is growing at a faster rate? __________

Consider the following equation.
-6y + 8x + 2y = 24

Identify the slope for this equation. _______ 
Identify the y-intercept for this equation. Write as an ordered pair. _______ 
Identify the x-intercept for this equation. Write as an ordered pair. _______ 

Based on the given scenarios, does it make sense to use Point Slope form, Standard Form, or Slope Intercept form? Match each scenario to the appropriate form.

A rental company charges a flat fee and hourly rate.
I am filling a container at a constant rate of 5 gallons per minute. After 2 minutes, I have 10 gallons of water in my container.
I need to buy grapes for $3 a pound and apples for $2 a pound and I have $20 to spend.

Point-Slope Form
Standard Form
Slope Intercept Form

A rental car charges a flat rate of 100 dollars plus $5 per mile driven. John rents a car for a 45 mile trip he is taking today. 

Write the equation in Slope Intercept Form _______ 
Graph your equation in the show work section.
Your graph is part of the score for this question.

What will the total cost of his 45 mile trip be? _______ 
List 3 possible inputs for this scenario (separate your answers with a comma!) _______ 

Clare purchased dried figs at $6 per pound and salted almonds at $4 a pound. She spent $48 before tax.
What is the equation written in Standard Form? _______ 
Graph your equation in the show work section.
Your graph is part of the score for this question.

What is the x intercept? List as ordered pair. _______ 
What is the y intercept? List as ordered pair. _______ 
Write the domain in interval notation_______ 
Write the range in interval notation_______ 

A water dispenser is draining by 0.5 gallons per hour.  After 4 hours, the water dispenser had 3 gallons remaining.

Graph your equation in the show work section
Your graph is part of the score for this question

What is the equation written in point-slope form. _______  
What is the x -intercept write as an ordered pair?_______ 
What does it mean in context? _______  