According to a study in one area, the equation yˆ=10.4738x+2.5842 models the yearly amount earned for non-profit organizations, in thousands of dollars, where x is the number of fund-raising events held throughout the year, given donations were also collected prior to the event. According to this regression equation, what is the approximate amount earned for a non-profit organization, given there are 12 fund-raising events held during one year?

A( about $123,000.00

B( about $126,000.00

C( about $128,000.00

D( about $138,000.00

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

$25 becasue a 10 increase would make it from 80 to 50