Question

On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car's actual length, from bumper to bumper, is 16 feet. Using I to represent inches and F to represent feet, write two equations to express the rate relationship.

Answer 1

`I=(3)/(8)\cdot F` and
`F = (8)/(3)\cdot I`.

Explanation:

Let I represent inches and F represent feet.

We have been given that on he scale drawing of a car, the length from bumper to bumper is 6 inches. The car's actual length, from bumper to bumper, is 16 feet.

We will use proportions to solve our given problem as:

`\frac{\text{Length on scale}}{\text{Actual length}}=(6)/(16)`

`(I)/(F)=(6)/(16)`

Now, let us solve for
`I`.

`I=(6)/(16)\cdot F`

`I=(3)/(8)\cdot F`

Now, let us solve our equation for F.

`I\cdot(8)/(3)=(8)/(3)\cdot(3)/(8)\cdot F`

`(8)/(3)\cdot I= F`

`F = (8)/(3)\cdot I`

Therefore, our required equations would be
`I=(3)/(8)\cdot F` and
`F = (8)/(3)\cdot I`.