We know that
• Lashonda purchased a prepaid phone card for $20.
,
• Long-distance calls cost 8 cents a minute.
,
• The remaining credit on her card is $17.12.
This problem can be expressed as
![20-0.08x=17.12](https://img.qammunity.org/2023/formulas/mathematics/college/wtxjfkozp0y30s4hbjpdv7pte1jcr693o0.png)
Where x is the number of minutes.
We solve the equation for x
![\begin{gathered} -0.08x=17.12-20 \\ -0.08x=-2.88 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/neks9es4u9wrxzxyr5uunm820tc2fx7vdx.png)
Then, we divide by -0.08 the equation
![\begin{gathered} (-0.08x)/(-0.08)=(-2.88)/(-0.08) \\ x=36 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/c8x3lf72v9pvlxg2ptry675j6qguvbmaav.png)
Therefore, Lashonda's call last 36 minutes.