Using a proportional relationship, we have that:
- The table is completed as follows: x = 4, y = 192; x = 6, y = 288; x = 9; y = 432;
- 6 boxes are not enough for 300 pencils, 7 are needed.
<h3>What is a direct proportional relationship?</h3>
A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
From the table in this problem, the constant is given as follows:
k = 240/5 = 48/1 = 48.
Hence the relationship is:
y = 48x.
Then:
- When x = 4, y = 48(4) = 192.
- When x = 6, y = 48(6) = 288.
- When x = 9, y = 48(9) = 432.
For 300 pencils, the number of boxes is given by:
48x = 300
x = 300/48
x = 6.25.
There are not decimal parts of a box, a complete box is needed, hence 7 boxes are needed, meaning that 6 boxes are not enough for 300 pencils.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
Step-by-step explanation:
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Answer:
19 ) B (<2 and <5)
20) A(20)
21 and 22 Don't know sorry
Make a proportion and cross multiply.
0.3x = 600
x = 2000
Answer:
x > 367
Step-by-step explanation:
set x = # of DVDs they sold
Each DVD costs $15 so the total amount they made is 15x
Since they raised more than $5500
15x > 5500
Divide both sides by 15 to solve the inequality and you get
x > 366.67 and since you can't sell 0.67 of a DVD, round up to get
x > 367 which means that they sold more than 367 DVDs