The table shows the amount of money LaTasha charges customers to mow their lawns. The table represents a linear function.
2 answers:
Answer:
The correct option is B.
Step-by-step explanation:
The given table represents a linear function. The coordinate pairs are .
Choose any two points from these points and find the slope of the linear function.
Let the two points are (0,10) and (2,18).
Since the slope of the line is 4, therefore the LaTasha earns $4 for 1 hour of work.
The point (0,10) represents that LaTasha charges $10 at time 0. So, LaTasha charges $10 before she begins mowing and option B is correct.
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Given:
A student says that the graph of the equation is the same as the graph of
, only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
Equation of after transformation is
Now,
...(i)
The translation is defined as
...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
Therefore, the graph of translated left by 8 units. Hence, the student is wrong.