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twinklkeys
28.12.2019 •
Mathematics
For the situation below determine the independent value, the dependent value, and the constant of proportionality for both ratios. confirm your calculations by setting up a proportion with the two ratios and then cross-multiplying.
a package of 7 steaks costs $44.10. a package of 11 steaks costs $69.30.
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Ответ:
see the explanation
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or ![y=kx](/tpl/images/0435/3700/7f524.png)
Let
x ----> the number of steaks in the package
y ----> the cost
In this problem
The independent value or input value is the number of steaks (variable x)
The dependent value or output value is the cost (variable y)
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so
First ratio
x=7, y=44.10 ---->![k=\frac{44.10}{7}\ \$/steak](/tpl/images/0435/3700/e1f2e.png)
Second ratio
x=11, y=69.30 ---->![k=\frac{69.30}{11}\ \$/steak](/tpl/images/0435/3700/83911.png)
Verify the proportions
cross-multiplying
therefore
The relationship between the variables, x, and y, represent a proportional variation
Ответ:
the volume is 480 cm
Step-by-step explanation:
You find the volume of a shape by multiplying the base x width x height. In this case the height is 6 the width is 8 and the length is 10. 6x8x10= 480.