Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is n
ot a proportional relationship. Is she correct? Explain. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 5, 10. Column 2 is labeled y with entries 5, 10, 25, 50. 5 over 1 = 10 over 2 = 25 over 5 = 10 over 50 =
2 answers:
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Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x ---> the number of hours spent on the client’s case each week
f(x) ----> the total charge that week in hundreds of dollars
we have
distribute
This is the equation of the line in slope intercept form
where
The slope or unit rate is
The y-intercept or initial value is
To graph the line we need minimum two points
Find the x-intercept
For f(x)=0
The x-intercept is the point (-2,0)
so
we have
the points (-2,0) and (0,8)
To graph the line, plot the intercepts, connect them and join the points
The graph in the attached figure
Remember that the value of x and the value of f(x) cannot be a negative number
Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.
Explanation: Since, and
are similar triangles.
Because, and
(because EA and KD are parallels. And,
is common angle for these triangles.
Therefore, according to the property of similar triangles.
FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .
Thus, first, second and third options are correct.