contestada

Adam earns $36 for every four hours of work. If he continues to be paid at the same rate:

a. How long will it take him to earn $144? Show and explain your reasoning.

b. How long will it take him to earn $222? Show and explain your reasoning.

c. How could you describe his rate for a 40-hour work week? For a 7-hour day? Show and explain your reasoning.

Respuesta :

ahawkins25

Answer:

a certain number that i do not know

Step-by-step explanation:

        a). It will take 16 hours to earn $144.

        b). It will take 24.67 hours to earn $222

        c). In a 40 hours week he will earn $360.

             In a 7 hours day he will earn $63.

Proportionality if two variables:

  •  If two variables 'x' and 'y' represent number of hours worked and total earning respectively,

          Proportionality law states,

          y ∝ x

          y = kx  [here, k = proportionality constant]

If Adam earns $36 in 4 hours,

36 = 4k

k = 9

Therefore, expression for total earnings will be,

y = 9x

a). For y = $144,

    144 = 9x

     x = 16 hours

b). For y = $222,

    222 = 9x

     x = 24.67 hours

c). For 40 hour week,

    y = 9(40) = $360

    Adam will earn $360 in a week by the rate $9 per hour.

    For 7 hour day,

    y = 9(7) = $63

    Adam will earn $63 in a day by the rate of $9 per hour.

            Therefore, a). It will take 16 hours to earn $144.

                               b). It will take 24.67 hours to earn $222.

                               c). In a 40 hours week he will earn $360.

                                    In a 7 hours day he will earn $63.

 

Learn more about the proportionality relation here,

https://brainly.com/question/5837592?referrer=searchResults

Otras preguntas