Question

A babysitter charges $12 an hour and a one-time trip charge of $5. Create an equation model using function notation, M for money, and h for hours. Use it to answer this question: m(?) = 41

(a) m(h) = 12h + 5
(b) m(h) = 5h + 12
(c) m(h) = 12h - 5
(d) m(h) = 5h - 12

Answer 1

The equation model using function notation would be: m(h) = 12h + 5. The variable m represents the amount of money and h represents the number of hours worked by the babysitter.

Step-by-step explanation:

The equation model using function notation would be: m(h) = 12h + 5.

The variable m represents the amount of money and h represents the number of hours worked by the babysitter.

The constant term 5 represents the one-time trip charge of $5, and the coefficient 12 represents the hourly rate of $12.

To answer this question, we substitute the given value of h into the equation and solve for m. For example, if the question asks for the total amount of money earned after 3 hours, we substitute h = 3 into the equation and calculate m.