12. Since k is constant we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example if y varies directly as x, and y =6 when x=2, the constant of variation is k==3. The equation describing this direct variation is y=3x.
There are total 53 movies on the shelving unit
Step-by-step explanation:
<u>DATA</u>
Equal movies on the bottom 3 shelves: 3x
10 movies on each of the top 2 shelves = 2*10 = 20
<u>Equation:</u>
3x + 20
<u>Question:</u>
Number of movies on the shelving unit if 11 movies are on each bottom 3 shelves: x = 11
<u>Solution:</u>
3x + 20
3(11) + 20 = 33 + 20 = 53
Therefore, there are total 53 movies on the shelving unit; 20 on the top 2 shelves and 33 on the bottom 3 shelves altogether.
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3(n+5) < 3/4(n)
The three is multiplied by n+5. Whenever you see "is equal to/greater/less than," that is where you put your =, >, or < signs. Your variable, "n" represents the number. So three-fourths of the number is the same as multiplying the number by three-fourths.
Answer:
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning.
Step-by-step explanation:
the closer the correlation coefficient is to +1 the stronger the positive correlation.
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Part A. The answer is C, 9/13
Part B. The answer is Main Street Auto has 13 cars, while Airport Auto Leasing only has 8