Algebra Nation

Appleseed, a tech company, spends a fixed cost of $1500 to manufacture the wristbands for their new Appleseed Watch, plus $100 per unit manufactured.

 

What is the slope of the line? What does the slope represent?  

• The slope is $1500 which represents the initial fixed cost.

• The slope is $100 which represents the initial fixed cost.

• The slope is $1500 which represents the cost per wristband.

• The slope is $100 which represents the cost per wristband.

Appleseed, a tech company, spends a fixed cost of $1500 to manufacture the wristbands for their new Appleseed Watch, plus $100 per unit manufactured.

 

What is the y-intercept of the line? What does the y-intercept represent?  

• The y-intercept is $1500 which represents the initial fixed cost.

• The y-intercept is $100 which represents the initial fixed cost.

• The y-intercept is $1500 which represents the cost per wristband.

• The y-intercept is $100 which represents the cost per wristband.

Consider the equation, 3x+4y=12. Write the equation in slope-intercept form.

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

Joley is opening her first checking account as a teenager. She doesn’t have a job, so most of the income will be gifts from birthdays and holidays. Bank A has an $8 monthly charge. Bank B charges 1% of the balance. Which account balance below will result in Bank A being a better financial choice?​

• $850

• $550

• $650

• $750

Two sequences are shown on the graph below.  Sequence A is modeled by the black points, and sequence B is modeled by the gray points.

Which sequence is arithmetic?  Explain your reasoning.

• Sequence A, because it follows a linear pattern

• Sequence A, because it DOES NOT follow a linear pattern

• Sequence B, because it follows a linear pattern

• Sequence B, because it DOES NOT follow a linear pattern

Two sequences are shown on the graph below.  Sequence A is modeled by the black points, and sequence B is modeled by the gray points.

Determine the linear function for Sequence A.

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