  ### Home > INT2 > Chapter 1 > Lesson 1.2.4 > Problem1-64

1-64.

Match each table of data below with the most appropriate graph and briefly explain why it matches the data.

Time will always be shown on the $x\text{-axis}$.

1. Boiling water cooling down

$\begin{array} { | l | c | c | c | c | c | } \hline \text { Time (min.) } & \;\; { 0 } \;\; & \;\; { 5 } \;\; & \;\; { 10 } \;\; & \;\; { 15 } \;\; & \;\; { 20 } \;\; & \;\; { 25 } \;\; \\ \hline \text { Temp. (°C) } & { 100 } & { 89 } & { 80 } & { 72 } & { 65 } & { 59 } \\ \hline \end{array}$

Determine if the $y\text{-values}$ are increasing or decreasing.

Since the numbers for the $y\text{-axis}$ are decreasing, the only graph which fits is Graph $3$.

2. Cost of a phone call

$\begin{array} { | l | c | c | c | c | c | c | } \hline \text { Time (min.) } & \;\; { 1 } \;\; & \;\; { 2 } \;\; & \;\; { 2.5 } \;\; & \;\; { 3 } \;\; & \;\; { 4 } \;\; & \;\; { 5 } \;\; & \;\; { 5.3 } \;\; & \;\; { 6 } \;\; \\ \hline \text { Cost (cent.) } & { 55 } & { 75 } & { 75 } & { 95 } & { 115 } & { 135 } & { 135 } & { 155 } \\ \hline \end{array}$

Are the $y\text{-values}$ increasing at a constant rate?

This could be Graph $1$ or Graph $2$, but the table would not contain the point $(0,0)$, so it must be Graph $2$.

3. Growth of a baby in the womb

$\begin{array} { | l | c | c | c | c | c | c | c |} \hline \text { Age (months) } & \;\; { 1 } \;\; & \;\; { 2 } \;\; & \;\; { 3 } \;\; & \;\; { 4 } \;\; & \;\; { 5 } \;\; & \;\; { 6 } \;\; & \;\; { 7 } \;\; & \;\; { 8 } \;\; & \;\; { 9 } \;\; \\ \hline \text { Length (inches) } & { 0.75 } & { 1.5 } & { 3 } & { 6.4 } & { 9.6 } & { 12 } & { 13.6 } & { 15.2 } & { 16.8 }\\ \hline \end{array}$

Identify the pattern of how the length increases.

Graph $4$ fits best.

 Graph 1 Graph 2 Graph 3 Graph 4 Graph 5 