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Bella works at a shoe store. In addition to a fixed salary, she earns a commission for each pair of shoes that she sells. The table shows Bella’s total earnings , y (in dollars), from selling x pairs of shoes: Shoe Sales and Earnings Pairs Sold (x) Total Earnings (y)
x       y
1     95
2     110
3     125
Which equation best shows the relationship between x and y?

A.) y = x + 80
B.) y = 15x + 95
C.) y = 15x + 80
D.) y = x + 95

Respuesta :

the answer is C.) y=15x+80

Answer:

The correct answer is option C.

Explanation:

(x,y)

x : Number of pair of shoes sold

y : Total earnings of Bella by selling x pairs of shoes

[tex](x_1,_y_1)=(1,95)[/tex]

[tex](x_2,y_2)=(2,110)[/tex]

In order to determine the relation of between x and y we will use 'Two point form' of line.

[tex](y-y_1)=\frac{y_2-y_1}{x_1-x_2}\times (x-x_1)[/tex]

[tex](y-95)=\frac{110-95}{2-1}\times (x-1)[/tex]

[tex]y = 15x + 80[/tex]

In order to verify the equation, determine the relation by changing one of given the coordinate.

[tex](x_1,_y_1)=(1,95)[/tex]

[tex](x_2,y_2)=(3,125)[/tex]

[tex](y-y_1)=\frac{y_2-y_1}{x_1-x_2}\times (x-x_1)[/tex]

[tex](y-95)=\frac{125-95}{3-1}\times (x-1)[/tex]

[tex]y = 15x + 80[/tex]

Hence, the the correct option is C.

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