Question

Answer asap pls I'm almost outta time

Answer 1

Answer:

a) The direct variation equation that relates the amount of Kelly's paycheck to the number of hours is $C = 10.25\cdot t$.

b) She must work 24 hours to receive $ 246.

c) Kelly receives $ 410 for working 40 hours.

Step-by-step explanation:

a) According to the statement, we find that paycheck ($C$), measured in US dollars, is directly proportional to the time ($h$), measured in hours. That is:

$C \propto t$

$C = k\cdot t$ (Eq. 1)

Where $k$ is the proportionality constant, measured in US dollars per hour.

If we know that $C = 133.25\,USD$ and $t = 13\,h$, then the proportionality constant is:

$k = \frac{C}{t}$

$k = \frac{133.25\,USD}{13\,h}$

$k = 10.25\,\frac{USD}{h}$

The direct variation equation that relates the amount of Kelly's paycheck to the number of hours is $C = 10.25\cdot t$.

b) If we know that $C = 246\,USD$, then the number of hours are determined from (Eq. 1):

$t = \frac{C}{10.25}$

$t = \frac{246}{10.25}$

$t = 24\,h$

She must work 24 hours to receive $ 246.

c) If we know that $t = 40\,h$, then paycheck received by Kelly is:

$C = 10.25\cdot (40)$

$C = 410\,USD$

Kelly receives $ 410 for working 40 hours.

Answer 2

Answer:

a) The direct variation equation that relates the amount of Kelly's paycheck to the number of hours is .

b) She must work 24 hours to receive $ 246.

c) Kelly receives $ 410 for working 40 hours.

Step-by-step explanation: