Answer:
4. All of the values are not proportional except 2 values
5. All of the values are non-proportional
6. All of the values are proportional
7. The two variables are proportional when, (no. of pies ordered (one of the variables)) is ≥ 12 . but the two variables are non-proportional when, 0 < (no. of pies ordered (one of the variables)) < 12.
Step-by-step explanation:
4.All of the values in table 4. are not proportional, except 2 since,
[tex]\frac {1}{17.25} = \frac{4}{70} \neq \frac{2}{35.50} \neq \frac{3}{50.75}[/tex]
although the units for all fractions is the same i.e., hour/dollar
5. All of the values in table 5 are non-proportional since,
[tex]\frac {1}{37} \neq \frac {2}{73} \neq \frac {3}{109} \neq \frac{4}{145}[/tex]
although units for all the fractions are the same. i. e., hour/no. of pages
6. All of the values of the table 6. are proportional, since,
[tex]\frac {1}{2.75} = \frac {2}{5.5} = \frac {3}{8.25} = \frac {4}{11}[/tex]
and all of the fractions have same unit i. e., number of lunches/dollar
7. If no, of pies ordered is less than a dozen, then the cost is given by,
y = 5 + 4.5x [y in $, where x is the no. of pies ordered and 0 < x < 12]
clearly, y is not proportional to x.
The table of some values is given by,
x y
1 $ 9.5
2 $ 14
3 $ 18.5 etc.
If no, of pies ordered ≥ 12, then the cost is given by,
m = 4.5n [m in $, where, n is no. of pies ordered and n ≥ 12]
clearly, m is proportional to n
The table of some values is given by,
n m
12 $ 54
13 $ 58.5
14 $ 63 etc.
