Answer: C. $150.
Explanation:
When two quantities x and y are directly proportional ,then the equation of direct proportion is given by :-
![(x_1)/(y_1)=(x_2)/(y_2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lk7okdvgv8lu2zceghaujy4vv53fo1eo2t.png)
Given : Annabelle's total pay varies directly with the number of hours she works. If she works 4 hours, she earns $100.
Let
, then we ahve
![(100)/(4)=(x)/(6)\\\\\Rightarrow\ x=(100*6)/(4)=150](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fl631q2mrmfag9mkrf5i39bk9mzee0f3wa.png)
Hence, Annabelle earns $150 if she works 6 hours.