Linear Equations
New Zealand
Level 5
Input and Output tables from Graphs
Lesson
Remember that every graph has an $X$X-axis and a $Y$Y-axis.
The numbers on the $X$X-axis are sometimes called the inputs, while the numbers on the $Y$Y-axis are called the outputs.
We're going to practice completing tables of inputs and outputs given a graph.
Worked Example
Question 1
Given the following graph, fill in the table.
| $X$X | $2$2 | $4$4 | $6$6 | $8$8 | $10$10 | $12$12 | $14$14 | $16$16 |
| $Y$Y |
Notice on the graph that when the input $X$X is $2$2, the output $Y$Y is $1$1.
We can fill this output in the table.
| $X$X | $2$2 | $4$4 | $6$6 | $8$8 | $10$10 | $12$12 | $14$14 | $16$16 |
| $Y$Y | $1$1 |
We can use this method to fill in the entire table like so.
| $X$X | $2$2 | $4$4 | $6$6 | $8$8 | $10$10 | $12$12 | $14$14 | $16$16 |
| $Y$Y | $1$1 | $2$2 | $3$3 | $4$4 | $5$5 | $6$6 | $7$7 | $8$8 |
Further Examples
Question 2
Given the following graph, fill in the table.
Loading Graph...
$x$x $1$1 $2$2 $3$3 $4$4 $y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
Question 3
Buzz recorded his savings (in $dollars$dollars) over a few months in the graph given.
Loading Graph...
Complete the table.
Months $1$1 $2$2 $3$3 $4$4 Savings $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ Buzz estimates that he will have exactly $\$60$$60 in his savings by month $5$5. Is this true or false?
True
AFalse
B