Q75. - Algebra 1

Question

A teacher claims that the relationship between number of hours studied for a test and test score can be described by $g\left(x\right)=45+9x$ where $x$ represents the number of hours studied. Graph this function.

Step-by-Step Solution

Answer

The graph for the number of hours studied for a test and test scores is:

Step 1. Given information.

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

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

Step 2. Graph.

Let $x$ represents the number of hours studied.

so $0$ is the smallest and $x$ 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 score is:

Step 3. Interpretation.

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

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

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