Manuel has 3 times as many quarters as dimes totaling $6.80. how many of each coin

  19

Step-by-step explanation:

To find the equation of the line represented by the table, you can use the two-point form of the equation for a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (60 -40)/(10 -5)(x -5) +40

  y = 20/5(x -5) +40 . . . . simplify a bit

  y = 4x -20 +40 . . . . . . . eliminate parentheses

  y = 4x +20 . . . . . . . . . . . simplify to slope-intercept form

This tells you the y-intercept of the table function is +20. The graph tells you the y-intercept is +1.

The distance between +1 and +20 is 19.