Question

1. van goghs painting starry night measures 92 cm long by 73 cm high. you buy two posters, each showing an enlargement of the painting. the first poster measures 120 cm long by 100 cm high. the second poster measures 138 cm long by 109.5 cm high. which of the following is true? (hint: to be an accurate representation of the painting, would the poster be similar to the painting?)

both posters are not accurate representations of the painting.
the first poster is an accurate representation of the painting, but the second poster is not an accurate representation.
the first poster is not an accurate representation of the painting, but the second poster is an accurate representation.
both posters are accurate representations of the painting.

Explanation:

Step1: Calcular la proporción del primer poster

Para el primer poster:

• Proporción de longitud: \(\frac{120}{92}\approx1.304\)
• Proporción de altura: \(\frac{100}{73}\approx1.370\)

Como \(1.304
eq1.370\), no es una representación exacta.

Step2: Calcular la proporción del segundo poster

Para el segundo poster:

• Proporción de longitud: \(\frac{138}{92} = 1.5\)
• Proporción de altura: \(\frac{109.5}{73}=1.5\)

Como \(1.5 = 1.5\), es una representación exacta.

Answer:

The first poster is not an accurate representation of the painting, but the second poster is an accurate representation.