The acceptance rates by 10 of the most selective colleges and universities are shown in Table 27 for various groups of SAT scores.

For students who score x points, let y be the percentage of applicants who are accepted.
a. Construct a scatterplot by hand.
b. Graph the equation = 0.034(1.005)x by hand on the scatterplot.
c. What is the base of the model = 0.034(1.005)x ? What does it mean in this situation?
d. What percentage of applicants who score 1425 points get accepted?

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Table 27 Acceptance Rates by 10 of the Most Selective Colleges and Universities SAT Score Group (points) 1100-1190 1200-1290 1300-1390 1400-1490 1500-1600 Score Used to Represent SAT Score Group (points) 1150 1250 1350 1450 1550 Percent 10 17 31 48 72