Question

Joshua saves $50 every 2 weeks he works. The total amount of money Joshua saves is proportional to the number of weeks he works. Graph a line on this coordinate plane to show the amount of money, y, Joshua saves when he works for x weeks.

Answer 1

Joshua saves $50 every 2 weeks he works. The total amount of money Joshua saves is proportional to the number

Answer 2

Given:

The total amount of money Joshua saves is proportional to the number of weeks he works.

Joshua saves $50 every 2 weeks he works.

To graph:

The line shows the amount of money y, Joshua saves when he works for x weeks.

Step-by-step explanation:

According to the question,

The equation will be

`\begin{gathered} y\infty x \\ y=kx \end{gathered}`

Substituting x = 2 and y = 50 we get,

`\begin{gathered} 50=k(2) \\ k=25 \end{gathered}`

Therefore, the equation can be written as,

`y=25x.........(1)`

Where x is the number of weeks and y is the savings.

When x = 0, we get y = 0,

When x = 1, we gett y = 25.

So, the points are

`(0,0),\text{ and \lparen1, 25\rparen}`

Therefore, the graph becomes,