contestada

Jada has a job with the city’s Parks and Recreation Department. She receives an hourly wage plus time and a half for any hours over 40 worked each week.


Which piecewise-defined function best models her weekly pay h(t) if she works t hours and receives an hourly wage of $12?

(answer choices attached)

Respuesta :

As per the problem statement, there is a linear relation,  between de whole earnings of Jada,  and her working time.

Solution:

y = 240 + 6×t

A Linear relation  is of the form:

y = ax + b

If we call total earnings´Jada "y",  and "t" the whole quantity of worked hours per week,  we get:

a fixed amount working 40 hours      12×40 = 480 $

and the quantity over 40 hours as   ( t - 40 ) × 6.

Then  y = fixed quantity + overtime

y = 480 + ( t - 40 ) × 6       reordering this expression

y = 480 + 6×t - 240

y = 240 + 6×t

Just for checking,  if this equation satisfies, the conditions of the problem

if t = 40 h    that means she did´nt do any overtime,

she earns    y = 240 + 6×(40)   ⇒  y = 480 $

if t = 50 h  meaning 10 hours of overtime, she earns:

y = 240 + (50)×6   ⇒  y = 540 $

Related Links : https://brainly.com/question/21835898

Otras preguntas