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Ostrovityanka [42]
3 years ago
15

On a cross country vacation, maria filled her 14 gallon gas tank eleven times.wich is the best estimate of how many gallons of g

as she put in the tank altogether?is it 75, 150 , 200, or225
Mathematics
2 answers:
poizon [28]3 years ago
3 0
The actual answer is 154 but the closest estimate would be 150.
Just multiply the number of gallons filled her gas tank (14) and how many time she filled it (11). 
Bezzdna [24]3 years ago
3 0

Answer:

The best estimate is 150

Step-by-step explanation:

It is very important to understand that Maria has a tank that has a volume capacity of 14 gallons. When the problem says that she has filled the tank 11 times, it means that she has filled the tank and then emptied it for refilling again. She repeated the process 11 times.

So, for solving the problem, it is necessary to multiply the tank capacity by the times Maria refilled it.

volume_{total}=14\cdot 11=154gallon

The number 154 is not an option so you must choose the value that better approaches to 154, it is 150 because the difference is the lowest.

The best estimate is 150

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The differences between the trapezoidal rule and simpson's rule is -

The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.

<h3>What is trapezoidal rule?</h3>

The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.

Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).

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  • Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.
  • Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ix
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Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form  b∫ₐ f(x) dx.

Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.

  • Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.
  • Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.
  • Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.
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Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.

To know more about the Simpson's method and trapezoidal rule, here

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