Interpreting Graphs of Functions in Algebra 1

The video tutorial focuses on interpreting graphs in word problems, specifically in the context of Q14. It provides three examples: Diana's spools of thread, Nicole's hair bands, and Kathleen's walking distance. Each example demonstrates how to read and interpret graphs by identifying inputs and outputs. The tutorial emphasizes the importance of understanding the axes and the relationship between variables. It concludes with tips on carefully reading the language used in word problems to accurately interpret the graphs.

What does the x-axis represent in the graph related to Diana's spools of thread?

• Amount of money spent

• Total distance walked

• Number of spools of thread remaining

• Number of dresses sewn

If Diana sews 50 dresses, how many spools of thread will she have left?

• 50

• 60

• 70

• 80

In the first example, what does the y-axis represent?

• Number of dresses sewn

• Number of spools of thread remaining

• Amount of money spent

• Total distance walked

In the second example, what does the y-axis represent?

• Number of hair bands owned

• Amount of money spent

• Number of dresses sewn

• Total distance walked

How much money does Nicole need to spend to own a total of six hair bands?

• $3.00

• $2.50

• $2.00

• $1.50

In the second example, what is the relationship shown in the graph?

• Number of dresses sewn and spools of thread remaining

• Number of hair bands owned and amount of money spent

• Number of trips and amount of money spent

• Total distance walked and number of trips

In the third example, what does the x-axis represent?

• Number of trips to school

• Number of hair bands owned

• Total distance walked

• Amount of money spent

How many trips will Kathleen have to make to walk a total of 50 kilometers?

• 3 trips

• 6 trips

• 4 trips

• 5 trips

What is the key point to remember when interpreting graphs of functions?

• Understand the given input and output

• Focus only on the x-axis

• Ignore the labels on the axes

• Always look at the y-axis first

What should you do if the graph gives you the output and you need to find the input?

• Guess the input

• Ignore the graph

• Look at the y-axis

• Look at the x-axis