Mr. Krabs is keeping a close eye on his income throughout the day. He noticed that after selling 5 Krabby Patties he had $62 in the register. Later on, after selling his 14th Krabby Patty of the day he had $98. Create a linear function and use it to determine how much money was in the register at the beginning of the day. 1.) f(x) = __x+__

2.) How much money was in the register at the beginning of the day?
a.) $43.50
b.) $39.50
c.) $37.00
d.) $42.00

Step-by-step explanation:

f(x) = ax + b

f(5) = 62 => 5a+b = 62

f(14) =98 => 14a+b= 98

-

-9a = -36

a = -36/-9 = 4

5a + b = 62

5(4) +b=62

20+b = 62

b = 62-20

b = 42

1) f(x) = 4x + 42

2) the money was in the register at the beginning of the day = $42.00 (option d)

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

geometry: triangles

solvers

lessons

answers archive

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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