The solution of the equation expressed in the bar model is x = 4
The following equation can be extracted from the bar model:
Base on the Bar model, the following equation can be extracted below:
If you notice from the Table, the horizontal width that housed the number 10 is the same size with the width that house the values x and 6.
Therefore, to find x, we sum x and 6 to get 10.
x + 6 = 10
subtract 6 from both sides
x + 6 - 6 = 10 - 6
x = 4
learn more on bar model here: brainly.com/question/10656872?referrer=searchResults
There is no figure on the right
Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
The answer is .462 It's just mulitplying