Question

jake is buying a piece of recycled art from luna. he started by giving her $50 and promised to pay her $5 a week until he pays the total price.what equation shows the relations hip of the total price (t) of the total art to the number of weeks (w) jake will take to pay luna

Answer 1

The initial, total price of the piece of art can be denoted by the variable "t". Since Jake gave Luna $50 upon purchase, the balance to Luna immediately thereafter is t-50 dollars. He then will pay her $5/week until the balance is zero, which means that he will need to pay for a number of weeks "w" which is equal to that balance divided by 5.   
Phrasing this algebraically, we can express that:  
w = (t - 50)/5

Answer 2

The equation t = 50+5w shows the relations hip of the total price (t) of the total art to the number of weeks (w) Jake will take to pay Luna if the initial amount is $50.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation known as linear equation in one variable.

We have initial amount = $50

Jake pays each week = $5

Here t is the total price of the total art

And w is the number of weeks Jake will take to pay Luna

The relations between t and w becomes:

t = 50+5w

The above relationship represents a linear relationship.

Thus, the equation t = 50+5w shows the relations hip of the total price (t) of the total art to the number of weeks (w) Jake will take to pay Luna if the initial amount is $50.

Learn more about the linear equation here:

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