If interstellar dust makes an RR Lyrae variable star look 7 magnitudes fainter than the star should, by how much will you over- or underestimate its distance? (Hint: Use the magnitude-distance formula d = 10(my - My + 5)/5.) destimate = 0.04

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If interstellar dust makes an RR Lyrae variable star look 7 magnitudes fainter than the star should, by how much will you over- or underestimate its distance? (*Hint: Use the magnitude-distance formula \( d = 10^{(m_V - M_V + 5)/5} \)*)

\[
\frac{d_{\text{estimate}}}{d_{\text{actual}}} = 0.04 \times
\]
Transcribed Image Text:If interstellar dust makes an RR Lyrae variable star look 7 magnitudes fainter than the star should, by how much will you over- or underestimate its distance? (*Hint: Use the magnitude-distance formula \( d = 10^{(m_V - M_V + 5)/5} \)*) \[ \frac{d_{\text{estimate}}}{d_{\text{actual}}} = 0.04 \times \]
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