The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3. 5b. Whi
1 answer:
The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.
<h3>Given information-</h3>The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,
The quantity of the bread depends on the quantity of the loaves.
<h3>Dependent variable</h3>The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.
Lets check which table satisfy the above equation.
Table 1-
In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.
Table 2-
In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,
The value of bread must be 4.5. Thus the table 2 does not provides the viable solutions.
Table 3-
Put the values of the loaves in the given equation one by one,
When the value of loaves is 0 then the value of the bread is,
When the value of loaves is 3 then the value of the bread is,
When the value of loaves is 6 then the value of the bread is,
When the value of loaves is 9 then the value of the bread is,
All the values of the table 3 satisfies the given equation.
Hence, the values given in the table 3 matches the equation and includes the viable solutions.
Learn more about the dependent variables here;
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Okay so lets look at the equation given
this is the Pythagorean theorem, this equation holds true to all right angle triangles.
for the "a" and "b" terms must be the two shortest lengths and "c" must be the longest length.
why? because "c" represents the hypotenuse in this theorem and the hypotenuse is by definition the longest side of a right triangle.
(side note: always draw a picture, it helps a lot if you doodle a bit to get an idea of what you are working with)
we are given three lengths : 3 , 4, and 5 (im ignoring the measurements for now)
we can look at it two ways with a picture and through algebra
try to draw a right triangle with the given info. you'll see there are only two cases were this is possible the picture above is one case where this is not possible
now we can look at this algebraically
(but "a" and "b" can swap lengths)
now with the Pythagorean theorem we can see how this plays out
and heres with "a" and "b" lengths swapped
now here's a case when we let 5 , our longest length , become a leg and let one our shorter lengths take the place of "c"
obviously 34 does not equal 16
hope this helped you out
this is the Pythagorean theorem, this equation holds true to all right angle triangles.
for the "a" and "b" terms must be the two shortest lengths and "c" must be the longest length.
why? because "c" represents the hypotenuse in this theorem and the hypotenuse is by definition the longest side of a right triangle.
(side note: always draw a picture, it helps a lot if you doodle a bit to get an idea of what you are working with)
we are given three lengths : 3 , 4, and 5 (im ignoring the measurements for now)
we can look at it two ways with a picture and through algebra
try to draw a right triangle with the given info. you'll see there are only two cases were this is possible the picture above is one case where this is not possible
now we can look at this algebraically
(but "a" and "b" can swap lengths)
now with the Pythagorean theorem we can see how this plays out
and heres with "a" and "b" lengths swapped
now here's a case when we let 5 , our longest length , become a leg and let one our shorter lengths take the place of "c"
obviously 34 does not equal 16
hope this helped you out