Chapter 1.5, Problem 11PPS

(a)

To determine

To graph: the ordered pairs on a coordinate plane.

Answer to Problem 11PPS

  

Explanation of Solution

Given:

The completed function table is shown below:

Depth	Temperature
Input d	Output t
0	74
10	72
20	71
30	61
40	55
50	53

Let depth= d

Temperature= t

Calculation:

Graph of the ordered pairs:

  

Conclusion:

Thus, the required graph is drawn.

(b)

To determine

To write: an algebraic equation.

Answer to Problem 11PPS

Algebraic expression is $t=-0.2d+74$

Explanation of Solution

Calculation:

Algebraic expression:

Slope $=\frac{\text{change in temperature}}{\text{change in depth}}$

Slope $=-0.2,c=74$

Conclusion:

Therefore, algebraic expression is $t=-0.2d+74$

(c)

To determine

To find: whether the set of ordered pairs is a function or not

Answer to Problem 11PPS

The relation is a function.

Explanation of Solution

Calculation:

The ordered pairs are $\left\{\left(0,74\right),\left(10,72\right),\left(20,71\right),\left(30,61\right),\left(40,55\right),\left(50,53\right)\right\}$

As each member of domain is paired with exactly one member of range, the relation is a function.

Conclusion:

Hence, the relation is a function.