Vivian bought 6 bottles of cooking oil. She gave the cashier $40 and expected $y change. (a) express the cost of 1 bottle of cooking oil in terms of y. (b) if y=10, find the cost of 1 bottle of cooking oil. (c) if y=1, find the cost of 1 bottle of cooking oil.

Respuesta :

prize of 6 botl= 40-y
prize of 1 botl will 40-y/6
if y=10
then prize of 1 bottle is 5

Answer:

Part (a) The required equation is [tex]y=40-6x[/tex].

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:

[tex]y+6x=40[/tex]

Part (a) express the cost of 1 bottle of cooking oil in terms of y.

[tex]y+6x=40[/tex]

Subtract both sides by 6x.

[tex]y=40-6x[/tex]

The required equation is [tex]y=40-6x[/tex].

Part (b) if y=10, find the cost of 1 bottle of cooking oil.

Substitute the respective values in the above equation.

[tex]10=40-6x[/tex]

[tex]-30=-6x[/tex]

[tex]x=5[/tex]

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.

[tex]1=40-6x[/tex]

[tex]-39=-6x[/tex]

[tex]x=6.5[/tex]

If y=1, the cost of 1 bottle of cooking oil is $6.5.

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