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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}.)

Is your calculated value an over- or underestimate?

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 \( d = 10^{((m_V - M_V + 5)/5)} \).)*

\[
\frac{d_{\text{estimate}}}{d_{\text{actual}}} = \text{_________}
\]

Is your calculated value an over- or underestimate?
- ○ overestimate
- ○ underestimate

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