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

Answer:

$I=\frac{3}{8}\cdot F$ and $F = \frac{8}{3}\cdot I$.

Step-by-step 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:

$\frac{\text{Length on scale}}{\text{Actual length}}=\frac{6}{16}$

$\frac{I}{F}=\frac{6}{16}$

Now, let us solve for $I$.  

$I=\frac{6}{16}\cdot F$

$I=\frac{3}{8}\cdot F$

Now, let us solve our equation for F.

$I\cdot\frac{8}{3}=\frac{8}{3}\cdot\frac{3}{8}\cdot F$

$\frac{8}{3}\cdot I= F$

$F = \frac{8}{3}\cdot I$

Therefore, our required equations would be $I=\frac{3}{8}\cdot F$ and $F = \frac{8}{3}\cdot I$.