The rectangular playground in tim's school is three times as long as it is wide. the area of the playground is 75 square meters.
1 answer:
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Answer:
<em>The price for a 60-ounce bag of popcorn would be $16</em>
Step-by-step explanation:
<u>Function Modeling</u>
The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.
The selection of the model is often a complex decision that involves statistics and data analysis.
The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.
The equation of a line of the volume V and the price p can be found with the expression
We'll use the first two values (6,10) (8,20)
Simplifying and rearranging, we get the model
To test the accuracy of the model, we compute the values of p for V=35 and for V=48
Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60
The price for a 60-ounce bag of popcorn would be $16
Further explanation:
We have to find the equation of the line first to graph the line.
The general form of slope-intercept form of equation of line is:
Given
Putting the value of slope in the equation
To find the value of b, putting the point (-3,5) in equation
Putting the values of b and m
The graph is made by using online graphing tool Desmos.
Keywords: Equation of line, graph of line
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