Answer:
As we know:
Direct variation => y = k*x, k is constant ( y/x = k = constant)
Inverse variation => y = k/x, k is constant (y*x = k = constant)
X - 1 2 5 10
Y - 6 12 30 60
Check the first 2 pair of X, Y:
(the remaining pair of value would show the same tendency)
X1 x Y1 = 1 x 6 = 6
X2 x Y2 = 2 x 12 = 24
=> X x Y is not a constant
=> Not an inverse variation.
=> B and D is incorrect
Otherwise, we have:
Y1/X1 = 6/1 = 6
Y2/X2 = 12/2 = 6
=> Y/X = 6
=> A direct variation with k = 6
=> y = 6x
=> Option C is correct
Hope this helps!
:)
Answer:
D. Vertx: (3,-16); Intercepts: x = -1, 7
Step-by-step explanation:
I graphed the equation on the graph below.
Time = Distance / Speed
T = 8.5 miles/ 22 miles = 0.3863
Answer:
Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.
Step-by-step explanation:
✔️Function A:
Initial value = y-intercept (b)
y-intercept is the value of y, when the corresponding value of x = 0
From the table, y = 6 when x = 0.
The y-intercept of function A = 6
Therefore, initial value for Function A = 6
✔️Function B:
y = 4x + 3 is given in the slope-intercept form, y = mx + b.
b = y-intercept = initial value.
Therefore
Initial value for Function B = 3
✔️Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.
