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

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