Question

6 multiple choice 1 point a scale model is made of a plane whose length is 114 ft and whose wingspan is 95 ft. if the length of the model is 31 inches, find the wingspan of the scale model to the nearest tenth of an inch. 25.8 inches 26.4 inches 26.0 inches 25.6 inches 26.2 inches

Explanation:

Step1: Set up proportion

Let $x$ be the wing - span of the scale model. Since the ratios of the real - life dimensions to the model dimensions are the same, we have the proportion $\frac{114}{31}=\frac{95}{x}$.

Step2: Cross - multiply

$114x = 95\times31$.

Step3: Calculate the right - hand side

$95\times31 = 2945$. So, $114x=2945$.

Step4: Solve for $x$

$x=\frac{2945}{114}\approx25.8333$.

Step5: Round to the nearest tenth

Rounding $25.8333$ to the nearest tenth gives $25.8$.

Answer:

$25.8$ inches