She spent $30.83. Explanation is up above :)
One form of the relation of inverse variation is y = k/x.
first step: Find the value of k: Taking the values x=5 and y = 4, 4=k/5, or k=20. Then, y = 20/x.
Next: Let y = 7 and find the corresp. value of x: 7=20/x, or 7x=20, or
x = 20/7 (answer)
Answer:
14.02
Step-by-step explanation:
You'd have to write equations for the price per month for each club.
Let x equal the number of months of membership, and y equal the total cost.
Club A's is y
=
24x
+
21.50 and Club B's is y
=
17.25
x
+
41.00 Because we know that the prices, y
, would be equal, we can set the two equations equal to each other.
24x
+
21.50
=17.25
x+
41.00
subtract 21.50 both sides
. We can now solve for x by isolating the variable.
24x=17.25x+19.5
divide 17.25x
1.39x=19.5
divide 1.39 both sides
x=14.02
After five months, the total cost would be the same.