Solve the system of equations using the tables below
1 answer:
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You would select the points with the x-values -3 and 2 and use the slope formula:
(-3, -36) and (2,4)
← slope formula
x1 = -3 y1 = -36 and x2 = 2 y2 = 4
(-3, -36) and (2,4)
x1 = -3 y1 = -36 and x2 = 2 y2 = 4
<h2>Explanation:</h2>
The complete question is in a comment above. The statements says that:
- Sean wrote the equation
is the cost per pound.
- The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.
So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:
From the equation we can determine as:
So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:
So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:
From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).
The table and the plotted data are in the attachment.
Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.
To use the method, follow the steps:
1) Calculate the mean of the two variables:
2) The Slope of the line is given by:
3) The y-intercept is found by the formula:
For the ripening of bananas, the least square method gives the line:
y = -0.142x + 5.56
The rate of change of a line equation is its slope, so
Rate of change = -0.14
The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.