Answer: Yes, y does vary directly with x.
Constant of variation = 1/4
The function rule is y = (1/4)x
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Explanation:
Let's assume that y does vary directly with x.
If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.
Solving for k gets us k = y/x
For each row, divide the y value over the x value
- row one: k = y/x = 14/56 = 0.25
- row two: k = y/x = 20/80 = 0.25
- row three: k = y/x = 22/88 = 0.25
Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.
So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x
Answer:
31.205
Step-by-step explanation:
The perimeter is the sum of the side lengths:
8.73 +12.4 +10.075 = 31.205
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If you're after an answer that has the appropriate precision (assuming these are measured values), that would be one that is rounded to 1 decimal place: 31.2.
Answer: y=175
Step-by-step explanation: y&x
y=kx
(Where k is a constant)
When y=60,x=12...we have
60=12k
Divide both side by 12
12k/12=60/12
k=5
Equation becomes y=5k
Finding y when x=35
y=5(35)
y=175
Answer:
Charly has the better buy
Step-by-step explanation:
The unit cost is
=16.8/7
=$2.4
Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75
Unit cost
=12.75/5
=$2.55
Charly got the best deal because the unit cost per item is less than that of the friend
-4(x-7)=36
-4x+28=36
-4x=8
x=-2
