The total amount in millions of dollars, M, spent by the federal government on mathematics research is given below, where t is the years since 1980. t 0 1 2 3 4 5 6 7 8 9 10 M 91 118 128 134 151 184 185 205 212 230 245 (A) Createagraphofthedata. labels. (B) Use theTrendlinefeature ofExcel to determine the equation of the regression line modelforthedata. (C) . (D) State the y-intercept of the model and interpret its meaning in context of the problem. (E) Use the model to predict the amount spent for mathematics research in 1995. (F) Use Goal Seek to predict in what year the expenditures will reach $0.5 billion dollars.

The last graph.

Step-by-step explanation:

In the first graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 2/5 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the second graph, the darker triangle has one side that is 1/2 of the corresponding side of the other triangle, and one side that is 3/5 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the third graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 1/2 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the fourth graph, the darker triangle has one side that is 2/3 of the corresponding side of he other triangle, and another side that is 4/6=2/3 of the corresponding side of the other triangle.  Since these are both right triangles, this means the other side, the hypotenuse, will have the same ratio.  Since it is proportional for all sides, this is a dilation.