Nancy created a graph to predict the pay she will take home after taxes are taken from her income. Using the information on the
graph, what is the constant of proportionality?
a. 0.48
b.0.6
c.0.8
d.1.25
a. 0.48
b.0.6
c.0.8
d.1.25
2 answers:
Answer:
Option C. 0.8
Step-by-step explanation:
Nancy created a graph to predict the pay she will take home from her income.
The constant of proportionality will be =
For the income of $80 constant of proportionality =
and for the income of $130 constant of proportionality =
Therefore, option C. constant of proportionality = 0.8 is the answer.
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Answer:
Table B
Vertex is (3,-5)
Step-by-step explanation:
We are given with an equation of a parabola
Let is convert it into standard form of a parabola
adding and subtracting 9 in the right hand side of the =
the first three terms of the right hand side forms the expression of square of difference
Hence
adding 5 on both sides we get
Comparing it with the standard equation of a parabola
where and
The vertex of will be (0,0)
and thus vertex of
will be (3,-5)
Hence the Table B is our right answer
The large community college has 76 professors and 212 lecturers
<u>Solution:</u>
Given that,
Total number of faculty = 228
Let, the number of professors be p, then the number of lecturers will be 228 – p
They have 5 professors for every 14 lecturers.
Then, ratio of professors to lecturers is 5 : 14
Expressing the ratio as fractions, we get,
Plug in the values of number of professors and lecturers
So, community has 76 professors, then, it will have 288 – 76 = 212 lecturers.