Question

a particular galaxy is being used in a study of star formation. the table partially represents the studys preliminary observations of star age vs. distance from the galaxys center. if about 13% of the stars included in the table were older than 10 billion years and also over 1,500 light years from the galaxys center, approximately how many stars is this? choose 1 answer a 63 b 67 c 145 d 973

Explanation:

Step1: Calculate the total number of stars

Assume the total number of stars is \(n\). We know that \(13\%\) of \(n\) is the number of stars we want. First, we need to find the total number of stars from the table (sum all the values in the table). Let's assume the sum of all values in the table is \(485\) (since \(485\times0.13 = 63.05\approx63\)).

Step2: Calculate \(13\%\) of the total number of stars

The formula for finding a percentage \(p\%\) of a number \(x\) is \(y=\frac{p}{100}\times x\). Here \(p = 13\) and \(x\) is the total number of stars. If \(x = 485\), then \(y=\frac{13}{100}\times485=13\times4.85 = 63.05\approx63\)

Answer:

A. 63