To babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he earns. Brenna charges $6 per hour and saves 25% of the total amount she earns. Which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money?
Answers
Answer:
Step-by-step explanation:
Our question is: To babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he earns. Brenna charges $6 per hour and saves 25% of the total amount she earns.
Our aim is to find which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money?
We need to understand that we will need to find both Fernando and Brenna equations in order to find the number of hours after which Fernando and Brenna will have saved the same amount of money.
In order to do this we will need to make both equations equal and find when this case happens!
Lets consider n to be the number of hours Fernando worked.
We know that Fernando always charges $10 and plus $4 per hour, thus we need to multiply n by $4. After this step, we also know that he saves 30% of the total amount he earns. Hence the equation for Fernando is:
-- > 0.3 ( 4*n + 10)
Now using the same process to Brenna we will get Brenna's equation:
-- > 0.25*6*n
In order to find when they are equal we just do 0.3 ( 4*n + 10) = 0.25*6*n
Computing the above equation we will get n = 10 hour.
Hence our answer is 10 hours.
I hope this helps your studies!
Keep it up!
Answer:
0.3(10 + 4h) = 0.25(6h)