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11111nata11111 [884]
3 years ago
14

It costs a family of two $25 to go to the state fair, and a family of six $65. Find the equation, rate of change, and initial va

lue of the function that represents this situation?
Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

Step-by-step explanation:

Given:

Family of 2

Cost, C1 = $25

Family of 6

Cost, C2 = $65

Given that 2 points are given above as the following in coordinate form:

A(2,25) and B(6,65)

Rate of change is given as = (y2 - y1)/(x2 - x1)

= (65 - 25)/(6-2)

= 40/4

Therefore,

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

(y - 25)/(65 - 25) = (x - 2)/(6 - 2)

(y - 25)/40 = (x - 2)/4

(y - 25) = 40/4 × (x - 2)

(y - 25) = 10 × (x - 2)

Expanding,

y - 25 = 10x - 20

y = 10x - 20 + 25

y = 10x + 5

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Employee x earned $5250 in 3 weeks. at this rate how much will employee x earn in 8 weeks
iVinArrow [24]

Answer:

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Step-by-step explanation:

Given parameters:

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