Dfordham
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Please help:
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)
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 :

irspow
y=f+cx  where f is her fixed income and c is the commission she earns per sale...

we can say, to make it just like the point slope form of the line:

y=cx+f, so we first need to find the slope...c=110-95=125-110=15 so

y=15x+f, now we can solve for her fixed income using (1,95)

95=15(1)+f

f=80 so

y=15x+80  (so C. is the answer)

You can use the table values as points on line made by linear function and then can evaluate the relationship.

The equation best showing the relationship between x and y is given by:

Option C: [tex] y = 15x + 80[/tex]

Given that:

  • Bella's total earning is denoted by y
  • Count of pairs of shoes sold = x

Pairs Sold (x) Total Earnings(y)

1 95

2 110

3 125

To find:

The relationship between x and y

Finding relationship between x and y:

Let the price of each pair of shoe be m.

Let the commission at the end Bella gets is denoted by c.

Then we have:

Total income(y) = earning by selling x pairs of shoes(m times x) + commission (c)

or

[tex]y = mx + c [/tex]

Putting values from tables:

[tex]95 = m(1) + c\\ 110 = m(2) + c\\ 125 = m(3) + c[/tex]

Subtracting equation first from second equation , we get:

[tex]110 - 95 = m \\ m = 15[/tex]

Putting this value of m in first equation, we get:

[tex]95 = 15(1) + c\\ c = 95 - 15 = 80[/tex]

Thus, the relationship between x and y is given by:

[tex]y = mx + c\\ y = 15x + 80[/tex]

Thus, Option C: [tex] y = 15x + 80[/tex]

Learn more about linear equations here:

https://brainly.com/question/26139696

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