Interpreting Intercepts

Interpreting Intercepts

RECALL: How to solve & plot intercepts

Since it only takes 2 points to graph a line, we can use the intercepts.

Multiple Choice

What is the x-intercept?

• (0, 20)

• (10, 0)

Multiple Choice

What is the y-intercept?

• (0, 20)

• (10, 0)

Interpreting Intercepts

• The x-intercept means: they can buy 10 slices of pizza, but no donuts

• The y-intercept means: they can buy 20 donuts, but no pizza

Multiple Choice

Interpret the x-intercept

• (12, 0)

  After 12 haircuts, Adrienne will make a profit of $0

• (0, –200)

  Before any haircuts are given, Adrienne's starting profit is –$200

Multiple Choice

Interpret the y-intercept

• (12, 0)

  After 12 haircuts, Adrienne will make a profit of $0 (breakeven)

• (0, –200)

  Before any haircuts are given, Adrienne's starting profit is –$200

Open Ended

Why might Adrienne be starting with a -$200 profit?

Multiple Choice

Interpret the x-intercept

• (8, 0)

  After 8 weeks, there is $0 in the account (they're broke)

• (0, 350)

  Jazz started with $350 in the account

Multiple Choice

Interpret the y-intercept

• (8, 0)

  After 8 weeks, there is $0 in the account

• (0, 350)

  Jazz started with $350 in the account

Open Ended

Can you determine how much money Jazz is spending each week? (Remember, they spend the same amount each week.)

Final Takeaway

When interpreting intercepts, remember to read the axis labels and mention both variables in your answer!