Cross multiply.
5.4x=9*25.8
5.4x=232.2 Divide both sides by 5.4
x=43
1st ring=$50
2nd ring=$37.50
3rd ring=$25
$50+$37.50+$25 =$112.50 total cost before tax
$112.50 X 1.08=$121.5 total cost and tax
3 X $50 X 1.08=$162 total cost without discount deal
$162 - $121.50 =$40.50 savings
C, because the independent variable would be the variable that is changing -- in this case, the temperature. The dependent variable changes according to the independent variable, and is called so because it depends on the temperature of the pool.
Answer:
k = 3
Step-by-step explanation:
Given
f(x) = 0.5x
g(x) = 0.5x - k
Required
Find k
<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>
<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>
Given that f(x) = 0.5x
and f(x) is shifted down by 3 units to give g(x); then:
f(x) - 3 = g(x)
Substitute 0.5x for f(x)
0.5x - 3 = g(x)
Recall that g(x) = 0.5x - k ---------- (given)
0.5x - 3 = 0.5x - k
Subtract 0.5x from both sides
-0.5x + 0.5x - 3 = -0.5x + 0.5x - k
-3 = -k
Multiply both sides by -1
-3 * -1 = -k * -1
3 = k
k = 3
<em>Hence, the value of k is 3</em>
