Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
![A\propto t](https://tex.z-dn.net/?f=A%5Cpropto%20t)
...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
![54.60=k(6)](https://tex.z-dn.net/?f=54.60%3Dk%286%29)
Divide both sides by 6.
![\dfrac{54.60}{6}=k](https://tex.z-dn.net/?f=%5Cdfrac%7B54.60%7D%7B6%7D%3Dk)
![9.1=k](https://tex.z-dn.net/?f=9.1%3Dk)
Put k=9.1 in (i).
![A=9.1t](https://tex.z-dn.net/?f=A%3D9.1t)
Substitute A=260 in the above equation.
![260=9.1t](https://tex.z-dn.net/?f=260%3D9.1t)
Divide both sides by 9.1.
![\dfrac{260}{9.1}=t](https://tex.z-dn.net/?f=%5Cdfrac%7B260%7D%7B9.1%7D%3Dt)
![28.5714=t](https://tex.z-dn.net/?f=28.5714%3Dt)
![t\approx 29](https://tex.z-dn.net/?f=t%5Capprox%2029)
Therefore, she need to work extra about 29 hours to earn an additional $260.
So sorry if I didn't answer sooner, but you want to know what a prime number is right? I assume you now, but notice a small pattern, notice how most number 7's are prime right? 17, 27, 37 except for 11*7 of course. So 27 is one, then three is the same except 33. So try those out.
An approximation of an exact number is called a(n) ___ESTIMATE_______ number.