Final answer:
The function that describes g(m), the amount of money Julie has left after paying the babysitter, is g(m)=3,600m – 12×20m + 500, which simplifies to g(m)=3,600m – 240m + 500. Hence, the correct option is b) g (m)=3,600m−12×20m+500.
Step-by-step explanation:
To find the function that describes g(m), the amount of money Julie has left from her job after paying the babysitter for m months, we need to calculate Julie's earnings and then subtract her expenses for the babysitter.
From the given information, Julie's income function is f(m) = 3,600m + 500, where m is the number of months worked.
The function for the babysitter's hours is h(m) = 20m.
Since Julie pays the babysitter $12 per hour, her expenses for the babysitter are $12 multiplied by the number of hours the babysitter works, which is 12 × h(m) or 12 × 20m.
We can create Julie's net income function by taking her income function and subtracting her babysitter expenses: g(m) = f(m) – (12 × 20m).
This simplifies to g(m) = (3,600m + 500) – (240m), which can be further simplified to g(m) = 3,600m – 240m + 500.
Therefore, the correct function that describes g(m) is option b) g (m)=3,600m−12×20m+500.
Julie gets a new job, and earns an initial hiring bonus of $500 plus $3,600 per month. Her income from this job, f(m) , for working m months, can be determined using the function below.
f(m)=3,600m+500
Julie hires a babysitter while she works 20 hours per month. The function below can be used to determine h(m) , the number of hours the babysitter works in m months.
h(m)=20m
Julie pays her babysitter $12 per hour
Which function describes g(m) , the amount of money Julie has left from her job after paying the babysitter for m months?
a) g(m)=3,600m+500−12×20m
b) g (m)=3,600m−12×20m+500
c) g (m)=3,600m−12×h(m)+500
d) g(m)=3,600m+500−20×12m