Answered

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

Verified Answer :

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

\((x_1,_y_1)=(1,95)\)

\((x_2,y_2)=(2,110)\)

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

\((y-y_1)=\frac{y_2-y_1}{x_1-x_2}\times (x-x_1)\)

\((y-95)=\frac{110-95}{2-1}\times (x-1)\)

\(y = 15x + 80\)

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

\((x_1,_y_1)=(1,95)\)

\((x_2,y_2)=(3,125)\)

\((y-y_1)=\frac{y_2-y_1}{x_1-x_2}\times (x-x_1)\)

\((y-95)=\frac{125-95}{3-1}\times (x-1)\)

\(y = 15x + 80\)

Hence, the the correct option is C.

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