Chapter 1, Problem 75SGR

To determine

To plot: The graph of the relation between number of hours studied for a test and test score.

Explanation of Solution

Given information:

The relation number of hours studied for a test and test score is given by $g\left(x\right)=45+9x$ .

Graph:

Let $x$ is the number of carries, so $0$ is the smallest $x$ can be since it can’t be negative.

There is only enough time to run $6$ more plays so the greatest value of $x$ is $6$ .

The table is shown below.

$x$	$y=45+9x$	$\left(x,y\right)$
0	45	$\left(0,45\right)$
1	54	$\left(1,54\right)$
2	63	$\left(2,63\right)$
3	72	$\left(3,72\right)$
4	81	$\left(4,81\right)$
5	90	$\left(5,90\right)$
6	99	$\left(6,99\right)$

The graph for the number of hours studied for a test and test scoreis shown below.

  

Interpretation:

The smallest value of $y$ is $45$ and the largest is $99$ .

The domain is $0\le x\le 6$ .

The range is $45\le y\le 99$ .

Graph for the number of hours studied for a test and test score is shown above.