Pat is choosing between two different plans to buy electronic books for her tablet. Plan 1 costs $6 per month plus an additional $1 per book. Plan 2 has no monthly fee but each book costs $2.50. The system of equations graphed on the coordinate plane below shows the total monthly cost, y y , for each plan, based on the number of books, x x , Pat buys in one month. image 61d87744215e4cd3bf966f54bab9328c Which of these statements are true? Choose all that are correct. The costs of both plans are the same if Pat purchases 10 books a month. The costs of both plans are the same if Pat purchases 4 books a month. Solving the equation 6+y=2.5y 6 + y = 2.5 y will give the total cost when the two plans cost the same. The intersection of the lines f(y)=6+y f ( y ) = 6 + y and g(y)=2.5y g ( y ) = 2.5 y represents the number of books when the costs for the two plans are equal. The intersection of the lines f(x)=6+x f ( x ) = 6 + x and g(x)=2.5x g ( x ) = 2.5 x represents the number of books when the costs for the two plans are equal. Solving the equation 6+x=2.5x 6 + x = 2.5 x will give the x x -coordinate for the point of intersection of the two lines on the graph.