Question

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

Answer 1

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

Answer 2

The correct answer is option C.

Step-by-step 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)=(y_2-y_1)/(x_1-x_2)* (x-x_1)`

`(y-95)=(110-95)/(2-1)* (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)=(y_2-y_1)/(x_1-x_2)* (x-x_1)`

`(y-95)=(125-95)/(3-1)* (x-1)`

`y = 15x + 80`

Hence, the the correct option is C.