Juanita has $25, and she makes $11 per hour. She needs at least $58 to buy new shoes. Write and solve an inequality to determine how many hours Juanita must work to be able to buy new shoes. Then interpret the solution.

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Answer:

Juanita must work 3 hours and above to be able to buy new shoes.

Step-by-step explanation:

Initially, Juanita has $25 and make $11 per hour

meaning, Juanita's new cash in hand after t hours is;

[tex]\tt C=25+11t[/tex]

Juanita needs at least $58 to buy new shoes;

meaning, the minimum cash Juanita should have should be $58 and above.

Simply put,

[tex]\tt C\geq 58[/tex]

[tex]---> \tt 25+11t\geq 58[/tex]

[tex]\tt --->11t\geq 58-25[/tex]

[tex]---> \tt 11t\geq 33[/tex]

[tex]----> \tt t\geq \frac{33}{11}[/tex]

[tex]---> \tt t>3[/tex]

The solution reveals that Juanita must work 3 hours and above to be able to buy new shoes.

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