40% of students on a field trip love the museum. If there are 20 students on the field trip, how many love the museum??

1 answer:

5 0

Since there are 20 students on the field trip. Then 20 is the 100% total. Thus, to find how many people love the museum, we can simply multiply the total number of people by the percentage of interest, namely 40%

20*0.4 = 8
So, 8 people love the museum.

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A. Find a power function that models the data below.

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Using Visual inspection, the model which fits the data in the distribution better is the power function.

The power and linear functions can of the data can both be modeled using technology,

<u>Using Technology</u> :

The power function in the form $y = Ax^{B}$ which models the data is $1.926x^{1.662}$

The linear function in the form $y = Bx + A$ which models the data is $y = 7.429x - 8.333$

Where A = intercept and B = slope

From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively.

Hence, the power model is a better fit for the data than the linear model.

Therefore, Inspecting the models visually, the power function fits the data better as the points on the curve are closer to the regression line than on the linear model.

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