Answer:
Part (a) The required equation is
.
Part (b) If y=10, the cost of 1 bottle of cooking oil is $5.
Part (c) If y=1, the cost of 1 bottle of cooking oil is $6.5.
Step-by-step explanation:
Consider the provided information.
Let the cost of each bottle of cooking oil is $x.
Vivian bought 6 bottles of cooking oil.
Thus the cost of 6 bottles of cooking oil is 6x.
She gave the cashier $40 and expected $y change.
This can be written as:
![y+6x=40](https://tex.z-dn.net/?f=y%2B6x%3D40)
Part (a) express the cost of 1 bottle of cooking oil in terms of y.
![y+6x=40](https://tex.z-dn.net/?f=y%2B6x%3D40)
Subtract both sides by 6x.
![y=40-6x](https://tex.z-dn.net/?f=y%3D40-6x)
The required equation is
.
Part (b) if y=10, find the cost of 1 bottle of cooking oil.
Substitute the respective values in the above equation.
![10=40-6x](https://tex.z-dn.net/?f=10%3D40-6x)
![-30=-6x](https://tex.z-dn.net/?f=-30%3D-6x)
![x=5](https://tex.z-dn.net/?f=x%3D5)
If y=10, the cost of 1 bottle of cooking oil is $5.
Part (c) if y=1, find the cost of 1 bottle of cooking oil.
Substitute the respective values in the above equation.
![1=40-6x](https://tex.z-dn.net/?f=1%3D40-6x)
![-39=-6x](https://tex.z-dn.net/?f=-39%3D-6x)
![x=6.5](https://tex.z-dn.net/?f=x%3D6.5)
If y=1, the cost of 1 bottle of cooking oil is $6.5.