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.

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:

[tex]\frac{\text{Length on scale}}{\text{Actual length}}=\frac{6}{16}[/tex]

[tex]\frac{I}{F}=\frac{6}{16}[/tex]

Now, let us solve for [tex]I[/tex].

[tex]I=\frac{6}{16}\cdot F[/tex]

[tex]I=\frac{3}{8}\cdot F[/tex]

Now, let us solve our equation for F.

[tex]I\cdot\frac{8}{3}=\frac{8}{3}\cdot\frac{3}{8}\cdot F[/tex]

[tex]\frac{8}{3}\cdot I= F[/tex]

[tex]F = \frac{8}{3}\cdot I[/tex]

Therefore, our required equations would be [tex]I=\frac{3}{8}\cdot F[/tex] and [tex]F = \frac{8}{3}\cdot I[/tex].

kjenkins1284 kjenkins1284 · Answer 2 · 2021-04-05T17:20:37+02:00

Answer:

and .

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:

Now, let us solve for .

Now, let us solve our equation for F.

Therefore, our required equations would be and .