Question

1. mp justify conclusions a model car is $\frac{1}{24}$ the size of the actual car. if a model car is 7.75 inches long, how long is the actual car? justify your answer.

Explanation:

Step1: Relate model to actual length

Let $L_{actual}$ = actual car length, $L_{model}=7.75$ inches.
$L_{model} = \frac{1}{24}L_{actual}$

Step2: Solve for actual length

Rearrange to $L_{actual}=L_{model} \times 24$
$L_{actual}=7.75 \times 24$

Step3: Calculate the product

$7.75 \times 24 = 186$ inches

Step4: Convert inches to feet (optional, standard for cars)

Since $1$ foot = $12$ inches:
$L_{actual}=\frac{186}{12}=15.5$ feet

Answer:

The actual car is 186 inches (or 15.5 feet) long. The model is $\frac{1}{24}$ the size of the actual car, so multiplying the model length by 24 gives the full-scale length, and converting inches to feet provides a more practical unit for car length.