Chapter 4.4, Problem 7LC

To determine

Whether given relationship should be represented by a continuous or discrete graph.

Answer to Problem 7LC

This relationship should be represented by continuous graph.

Explanation of Solution

Given information:

Given relationship,

The amount of gas $g$ remaining in the tank of a gas depends on the amount of time $t$ he grill has been used.

Calculation:

Consider amount of gas remaining in tank of gas grill is represented by $g$ and amount of time grill has been used is represented by $t$ .

Since $g$ depends on $t$ . So this gives function rule

  $g=t$

Make table of values using this function rule. Choose any $t$ value. Substitute in function rule and solve for $g$ value. Table is as follows:

$t$	0	1	2	3	4
$g$	0	1	2	3	4

Graph each ordered pair $\left(t,g\right)$ . Graph is as follows. In this graph horizontal axis represents time and vertical axis represents amount of gas remaining in tank of gas grill.

  

Observe the graph. Found that amount of gas remaining in tank of gas grill is directly proportional to amount of time grill has been used this means that at any amount of time gas grill should remained start.

By the definition, a continuous graph is a graph that is unbroken.

Thus, this relationship should be represented by continuous graph.