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

 C. $150.

Step-by-step explanation:

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

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

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

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

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