A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5 inches by 11-inch paper, and then folding up and securing the resulting 'flaps' to be the sides of the box. l=11-2x b. Given the following starting and ending values of x, find the change in x and the resulting change in l.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5 inches by 11-inch paper, and then folding up and securing the resulting 'flaps' to be the sides of the box.
l=11-2x
b. Given the following starting and ending values of x, find the change in x and the resulting change in l.
![a. Write formulas for length, width, and volume of the box, each in terms of x .
Preview
W =
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V =
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b. Given the following starting and ending values of x , find the change in x and the resulting change in l.
x changes from ...
Ax
Al
0 to 0.5 in
0.5 to 1.5 in
1 to 4 in
Does l change at a constant rate with respect to x ? If yes, enter the appropriate value to complete the statement.
If no, enter "DNE".
Al =
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