Question

the diameter of earth is about 8000 miles and the diameter of jupiter is about 86000 miles. if you wanted to make a scale model of the solar system with earth 5 cm wide, how big would jupiter need to be?
o about 36 cm
o about 54 cm
o about 12 cm
o about 128 cm

Explanation:

Step1: Set up the proportion

Let $x$ be the diameter of Jupiter in the scale - model. The ratio of the actual diameters should be equal to the ratio of the diameters in the scale - model. So, $\frac{8000}{86000}=\frac{5}{x}$.

Step2: Cross - multiply

$8000x = 86000\times5$.

Step3: Solve for $x$

$x=\frac{86000\times5}{8000}=\frac{430000}{8000}=53.75\approx54$ cm.

Answer:

about 54 cm