Final answer:
To represent 17/10 using an area model, draw two rectangles divided into ten equal parts each. Fully shade one rectangle to represent 10/10 and shade seven parts in the second rectangle to represent 7/10, totaling 17/10.
Step-by-step explanation:
To show the fraction 17/10 using an area model, you would begin by drawing a rectangle and partitioning it into ten equal sections since the denominator is 10. These sections represent tenths of the whole rectangle. You would then shade in seventeen of these tenths. However, since we only have ten sections in one rectangle, we need to draw a second rectangle and again partition it into ten equal sections. This time, we will only shade in seven sections to add to the ten already shaded in the first rectangle, totaling seventeen sections shaded across both rectangles.
Therefore, the area model for the fraction 17/10 would consist of one fully shaded rectangle (representing 10/10) and a second rectangle with seven out of ten sections shaded (representing 7/10), which combined represent 17/10 or 1 and 7/10.