The table shows the cost of buying pencils at the school bookstore. If the data were graphed
2 answers:
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a. Jada got the measurement 16m.
b. The measured depth differ 0.2m from the actual depth.
c. There is a 12.66% error in calculation.
Step-by-step explanation:
Given,
The depth of lake = 15.8 m
a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get
When a digit after the decimal point is 5 or more than that, the number before decimal is rounded to the next number.
Therefore,
15.8 rounded to nearest number is 16.
The depth of lake measured by Jada = 16 m
Jada got the measurement 16m.
b. By how many meters does the measured depth differ from the actual depth?
Difference = Approx - Exact
Difference = 16 - 15.8 = 0.2m
The measured depth differ 0.2m from the actual depth.
c. Express the measurement error ad a percentage of the actual depth.
Percent error =
Percent error =
Percent error = 12.66%
There is a 12.66% error in calculation.
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Consider the diagram of the problem.
Let the vertex be on the y axis, exactly, at the point (0, 40)
Another point of this parabola is (200, 100), as can be checked from the figure.
The vertex form of the equation of a parabola is :
, where (h, k) is the vertex of the parabola,
replacing (h, k) with (0, 40), we have:
to find a, we substitute (x, y) with (200, 100):
40,000a=60
a=60/40,000=3/(2,000)
So, the equation of the parabola is
Let the vertex be on the y axis, exactly, at the point (0, 40)
Another point of this parabola is (200, 100), as can be checked from the figure.
The vertex form of the equation of a parabola is :
replacing (h, k) with (0, 40), we have:
to find a, we substitute (x, y) with (200, 100):
40,000a=60
a=60/40,000=3/(2,000)
So, the equation of the parabola is