Question

Annabelle's total pay varies directly with the number of hours she works. If she works 4 hours, she earns $100. How much does Annabelle earn if she works 6 hours? Plz show work:)

A.$90.
B. $120.
C. $150.
D. $300​

Answer 1

Answer:

C. $150 :)

Step-by-step explanation:

If Annabell works 4 hours and earns $100 that means for every hour she earns $25 so 25×4=100 so then multiply 25×6=15]

Answer 2

Answer:  C. $150.

Step-by-step explanation:

When two quantities x and y are directly proportional ,then the equation of direct proportion is given by :-

$\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

Given : Annabelle's total pay varies directly with the number of hours she works. If she works 4 hours, she earns $100.

Let $x_1=100\ ;\ y_1=4 \ :\ x_2=x,\ y_2=6$, then we ahve

$\dfrac{100}{4}=\dfrac{x}{6}\\\\\Rightarrow\ x=\dfrac{100\times6}{4}=150$

Hence, Annabelle earns $150 if she works 6 hours.