Question

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.

Answer 1

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 2

Part (a) The required equation is
`y=40-6x`.

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.

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`

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

`y+6x=40`

Subtract both sides by 6x.

`y=40-6x`

The required equation is
`y=40-6x`.

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`

`-30=-6x`

`x=5`

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`

`-39=-6x`

`x=6.5`

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