Q7. - Algebra 1

Question

Jack has \(100 to buy a game system. He plans to save \)10 each week. Graph an equation to show the total amount Jack will have in weeks.

Step-by-Step Solution

Answer

The graph of the equation to show the total amount $T$ jack will have in weeks is:

Step 1. Write an equation to show the total amount T Jack will have in weeks.

It is given that Jack has $100 and he saves $10 each week.

Let $w$ be the number of weeks and $T$ be the total amount that Jack has in $w$ weeks.

As saving for 1 week is $10, therefore saving for weeks is $\$\left(10w\right)$.

As, Jack has already $100. Therefore, the total amount $T$ jack will have in $w$ weeks is given by:

$T=10w+100$

Step 2. Write a table of values to graph the equation T = 10 w + 100 .

The table of values to graph the given equation is:

$w$	$T=10w+100$	$\left(w,T\right)$
0	$T=10\left(0\right)+100=100$	$\left(0,100\right)$
$-10$	$T=10\left(-10\right)+100=0$	$\left(-10,0\right)$
$-2$	$T=10\left(-2\right)+100=80$	$\left(-2,80\right)$
$-5$	$T=10\left(-5\right)+100=50$	$\left(-5,50\right)$
1	$T=10\left(1\right)+100=110$	$\left(1,110\right)$

Step 3. Draw the graph of the equation T = 10 w + 100 .

The graph of the equation to show the total amount $T$ jack will have in $w$ weeks is: