We know for our problem that Rachel makes $10 per hour. Since
represent the number of hours that she works,
will be the total amount that she will make for working
hours. We also know that she sells bracelets for $5 each. Since
represents the number of of bracelets that she sells,
will be her total revenue for selling
bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of
and
must be equal or greater than 200:
We can conclude that <span>the graphs that shows the inequality that represents this situation, with its solution region shaded is:</span>
You can tell if two fractions are proportional by cross multiplying the fractions. If the fractions are equivalent, then they are proportional. If they are not equivalent, they are not proportional.
Answer:
C. 6
Step-by-step explanation:
Recall that inverse variation is given by:
Where <em>k</em> is the constant of variation.
We know that <em>y</em> = 48 when <em>x</em> = 3. Substitute:
Solve for <em>k: </em>
<em />
<em />
<em />
Hence, our equation is:
We want to find <em>x</em> when <em>y</em> = 24. Substitute:
Cross-multiply:
Divide both sides by 24. Hence:
Our answer is C.
Production by Mexico is the same percentage (3%) of world production for the years of interest, so the relation is
... (mexico production) = 0.03 × (world production)
Then, dividing by 0.03, we get
... (mexico production)/0.03 = (world production)
The change in world production is the difference between the amounts for the two years, so is
... (production increase) = (2007 world production) - (2000 world production)
... = 24/0.03 - 18/0.03 = (24 - 18)/0.03
... = 6/0.03 = 200 . . . . million metric tons
The appropriate choice is (D) 200.
