Graphing Using the Intercepts

In your notebook, write down today's date and the title "Graphing Using Intercepts". Now, write down a definition for x-intercept and another for y-intercept. Click the appropriate box below when you completed that task.

How would you explain what the x and y intercept are to a five year old?

What is the easiest/quickest way to finding out what the x and y intercepts of a linear equation are?

Complete the following Khan Academy excercise called "Intercepts from a Graph". Click on the appropriate box below once you've received a 100%

https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-x-and-y-intercepts/e/linear-function-intercepts

Complete the following Khan Academy excercise called "Intercepts from an Equation". Click on the appropriate box below once you've received a 100%

https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-x-and-y-intercepts/e/solving_for_the_x-intercept

What is your biggest takeaway from this video? Did you learn anything new? Do you think differently about a table of values now?

Complete the following Khan Academy excercise called "Intercepts from a Table". Click on the appropriate box below once you've received a 100%

https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-x-and-y-intercepts/e/intercepts-from-table

Write a short story that is being modeled by the graph above.

Use the context of your story to describe what happens when the line touches the x and y axis.

You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two sizes. Small tables seat 4 people and large tables seat 6 people. Write an equation in function form to model the scenario above. For reference, label small tables as x and large tables as y.

Graph the equation you came up with on the coordinate plane below.

Choose all the possible combinations of small and large tables that would accomodate 180 people.

You make and sell decorative bows. You sell small bows for $3 and large bows for $5. You want to earn $60 per week. Write an equation to model the situation. Let x represent the number of small bows and y represent the number of large bows.

Graph the equation you came up with on the coordinate plane below.

Choose all the possible combinations of small and large bows that would earn you $60 per week.

You borrow $1800 from your parents. To repay your debt, you give them $150 per month. Your debt d (in dollars) is given by the function d = 150t – 1800 where t represents time (in months). What are the x and y intercepts of the graph?

Graph the above situation on the coordinate plane below.

Explain what the intercepts mean in this situation:

After how many months will you be debt free?

Write an equation in function form that models the graph above.