SOLUTION: The amount of money that Pablo makes in a given week varies directly as the number of hours he works that week. In a week in which he works 38hours, he makes $589. How much will he

Algebra ->  Test -> SOLUTION: The amount of money that Pablo makes in a given week varies directly as the number of hours he works that week. In a week in which he works 38hours, he makes $589. How much will he      Log On


   

Question 309611: The amount of money that Pablo makes in a given week varies directly as the number of hours he works that week. In a week in which he works 38hours, he makes $589. How much will he make in a week in which he works 46 hours?
Answer by nerdybill(7384) About Me  (Show Source):
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The amount of money that Pablo makes in a given week varies directly as the number of hours he works that week. In a week in which he works 38hours, he makes $589. How much will he make in a week in which he works 46 hours?
.
If you see the words "direct variation" think:
y = kx
where k is a constant
.
To find k, use: "In a week in which he works 38hours, he makes $589."
589 =k(38)
15.5 = k
.
Now, your expression is:
y = 15.5x
Use it to answer: "How much will he make in a week in which he works 46 hours?"
y = 15.5(46)
y = $713