Pregunta
4 . Jason gets paid \( \$ 20 \) to babysit for 4 hours. He gets \( \$ 30 \) for 6 hours and \( \$ 50 \) for 10 hours. Which equation shows how much money, \( m \), Jason gets paid per hour, \( h \), he babysits? A. \( m=4 h \) B. \( m=5 h \) C. \( m=10 h \) D. \( m=20 h \)
Ask by Ford Garza. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( m = 5h \), which is option B.
Solución
1. First, calculate the payment rate per hour using one of the given scenarios. For example, for 4 hours he gets \( \$20 \).
\[
\text{Rate} = \frac{20}{4} = 5 \quad \text{(dollars per hour)}
\]
2. Verify the rate with another scenario. For 6 hours he gets \( \$30 \):
\[
\text{Rate} = \frac{30}{6} = 5
\]
3. The rate is consistent. This means that Jason is paid \( \$5 \) per hour. If \( h \) is the number of hours he works, the total payment \( m \) is given by:
\[
m = 5h
\]
4. The equation \( m = 5h \) corresponds to option B.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To find out how much Jason gets paid per hour, we can use the information given. For instance, he earns $20 for 4 hours, which means he makes $5 per hour (since \( 20 \div 4 = 5 \)). Therefore, we can conclude that the equation that represents his earnings per hour is \( m = 5h \). Now, to test the consistency, let’s check his other earnings: $30 for 6 hours also gives $5 per hour; and $50 for 10 hours still gives $5. This confirms our equation! Overall, the answer is B: \( m = 5h \).

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