Question

Jazmin built a model car. Her model is 9 inches long. The actual car that her model represents is 15 feet long.

Jazmin wrote a ratio comparing the length of the model to the length of the actual car and then converted that rate to a unit rate.

What was the rate?
Responses

9 in.15 ft
9 in. over 15 ft

15 ft9 in.

Answer 1

To find the rate comparing the length of the model to the length of the actual car, we need to express it in terms of one unit. Jazmin's model car is 9 inches long, and the actual car is 15 feet long.

First, we can convert 15 feet into inches, since there are 12 inches in a foot:

\[
15 \text{ ft} \times 12 \text{ in/ft} = 180 \text{ in}
\]

Now, we can write the ratio of the model's length to the actual car's length:

\[
\text{Ratio} = \frac{9 \text{ in}}{180 \text{ in}}
\]

Now, let's simplify this ratio:

\[
\frac{9}{180} = \frac{1}{20}
\]

Thus, the unit rate comparing the length of the model to the length of the actual car can be expressed as:

\[
\frac{1 \text{ in}}{20 \text{ in}}
\]

So, the rate Jazmin expressed is \( \frac{9 \text{ in}}{15 \text{ ft}} \) or \( 9 \text{ in} \, \text{over} \, 15 \text{ ft} \) before converting it to unit rate.

The answer is:

**9 in. over 15 ft**.