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!
:)
x represents the number of lawns weeded by Gwen and y represents the number of dogs walked by Fabio.
Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog.
So, for x number of weeds, Gwen earned 12x and for y number of dogs walked, Fabio earned 9y.
They need at least $510 to purchase the new gaming station.
Therefore,
12x + 9y ≥ 510
Also, the number of dog walks that Fabio has scheduled should not be more than twice the number of yards Gwen has scheduled to weed.
Therefore,
y ≤ 2x
Also, Fabio will walk at least 25 dogs.
Therefore,
y ≥ 25
Hence, the constraints are:
12x + 9y ≥ 510
y ≤ 2x
y ≥ 25
