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2 years ago

(HELP FOR 50 POINTS)

Mathematics

1 answer:

GrogVix [38]2 years ago

4 0

y = 10x + 5 is the required equation.

Explanation:

A family of two to go to state fair is $25

A family of six to go to state fair is $65

So the 2 points are (2,25) and (6,65)

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

Plugin the values, we will get,

= (65 - 25)/ (6-2)= 40/4 = 10

Equation can be written as,

(y - y₁) / (y₂ - y₁) = (x-x₁)/(x₂-x₁)

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

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

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

4y - 100 = 40x - 80

4y = 40x - 80 + 100

4y = 40x + 20

Dividing the equation by 4, we will get,

y = 10x + 5 is the equation required.

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