The function c(x)=17.5x−10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon. a. how much does it cost to buy 5 tickets? it costs $ to buy 5 tickets. b. how many tickets can you buy with $130? you can buy tickets.

a. It would cost $77.50 to buy 5 tickets.

C(x)=17.5(5)-10

C(x)=87.50-10

C(x)=77.50

b. You can buy 8 tickets with $130

C(x)=17.5x-10

130=17.5x-10

Add 10 on both sides

140=17.5x

Divide 17.5 on both sides

8=x

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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