Chapter 4.4, Problem 37PPE

a.

To determine

To graph: $a=15b$ .

The table for $a=15b$

Explanation of Solution

Given information:

The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach buys. This situation is represented by the function rule $a=15b$

Graph:

First find the points that can be used to draw the graph for $a=15b$

At $b=0,a=15\left(0\right)=0$

At $b=1,a=15\left(1\right)=15$

At $b=0.5,a=15\left(0.5\right)=7.5$

At $b=2,a=15\left(2\right)=30$

At $b=1.5,a=15\left(1.5\right)=22.5$

Table is drawn as follows:

b	0	1	0.5	2	1.5
a	0	15	7.5	30	22.5

So, plot the points $(0,0),(1,15),(0.5,7.5),(2,30),(1.5,22.5)$

  

The graph is continuous if all the points are connected

The graph is discrete if all the points are not connected.

From the graph drawn above, it can be observed that the graph is continuous as all the points are connected.

b.

To determine

To calculate:Number of basketballs bought by the coach

Answer to Problem 37PPE

Number of balls bought $=8$

Explanation of Solution

Given information: Coach spends $120

Calculation:

The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach buys.

This situation is represented by the function rule $a=15b$

As coach spends $120, put $a=120$

  $120=15b\Rightarrow b=\frac{120}{15}=8$

So,

Number of balls bought $=8$