e = 15p is the equation to describe the relationship between p, the number of pictures, and e, the total earnings.
Solution:
Given that Yusef earned a total of 180 dollars from drawing 12 identically-priced pictures at a festival.
To find: equation to describe the relationship between p, the number of pictures, and e, the total earnings.
Let "p" be the number of pictures Yusef drew
Let "e" be the total earnings of Yusef
Let us calculate the price of one drawing
Since are drawings are identically priced so we can calculate the price of one drawing.
Price of one drawing = total earning ÷ total number of drawings
Price of one drawing = 180 ÷ 12 = 15
Therefore price of one drawing is 15 dollars
Total earning is calculated by multiplying number of drawings and price of one drawing
![\text{total earning }= \text{number of drawings} * \text {price of one drawing}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6okhni4j78ifsm6wj7q4u6zcnq7bjh8nyh.png)
![e = p * 15\\\\e = 15p](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vc3gw93xbrkrsrtttlwlifk75y6ru08cwm.png)
Thus the required equation is found