Algebra 1 Grade 9. Can anyone please help me answer this question?The brightness of a star is measured in magnitudes. The lower the magnitude, the brighter the star. A magnitude 9 star is 2.51 times as bright as a magnitude 10 star. A magnitude 8 star is 2.51 * 2.51 or (2.51)2 as bright as a magnitude 10 star.(Note: 10 - 8 = 2. Get it?)A. How many times as bright is a magnitude 3 star as a magnitude 10 star?B. Write an expression to compare a magnitude m star to a magnitude 10 star.C. A full moon is magnitude -13, approximately. Does your expression make sense for this magnitude? Explain.
Accepted Solution
A:
Answer:627.65 times2.51^(10 - m) timesYes, it makes senseStep-by-step explanation:Given that,A magnitude 9 star is 2.51 times as bright as a magnitude 10 starTo finda) How many times as bright is a magnitude 3 star as a magnitude 10 star10 - 3 = 72.51^7627.65 timesb)Expression to compare a magnitude m star to a magnitude 10 star2.51^(10 - m) timesc)Yes, it makes sense as a full moon is magnitude -13so,2.51^(10 - (-13)) 2.51^(23) 1557742231 times