Assume that y is directly proportional to x.Use the given x-value and y-value to find a linear model that relates y and x. $x = 5 , y = 380$
A)y = 76x
B)y = - 76x
C)y = $\frac { 1 } { 76 }$ x
D)y = - $\frac { 1 } { 76 }$ x
E)y = - 380x

Question

Assume that y is directly proportional to x.Use the given x-value and y-value to find a linear model that relates y and x.​ $x = 5 , y = 380$ ​
A)y = 76x
B)y = - 76x
C)y = $\frac { 1 } { 76 }$ x
D)y = - $\frac { 1 } { 76 }$ x
E)y = - 380x

Quizplus · Accepted Answer

Since y is directly proportional to x, the relationship between y and x can be described by the equation y = kx, where k is the constant of proportionality. Given x = 5 and y = 380, we can find k by substituting these values into the equation: 380 = k(5), which gives k = 76. Therefore, the linear model that relates y and x is y = 76x.

Assume That Y Is Directly Proportional to X x=5,y=380x = 5 , y = 380x=5,y=380

Assume That Y Is Directly Proportional to X $x = 5 , y = 380$