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Answer:
k = 2
x = 2y
Step-by-step explanation:
If variables x and y vary directly, this is expressed as;
x ∝ y
x = ky
k is the proportionality constant
Let's assume the value of x and y since we are not given;
x = 20
y = 10
Substitute
20 = k(10)
10k = 20
k = 20/10
k = 2
Hence the constant of proportionality is 2
Substitute i=k = 2 into the equation x = ky
x = 2y
Hence an equation that relates x and y is x = 2y
<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>
In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.
M(s) = -1/28s² + 3s - 31
Deriving,
dM(s) = (-1/28)(2s) + 3 = 0
s = 42
Hence, the speed at which the best mileage is achieved is mi/h.
Answer: Total molding cost is $197.20.
Step-by-step explanation:
Since we have given that
Length of oil painting frame = 22 inch
Width of oil painting frame = 30 inch
Width for molding = 4 inches
So, Length after molding would be
4+22+4 = 30 inches
Width after molding would be
4+30+4 = 38 inches
So, Perimeter of molding would be
Cost per inch = $1.45
So, Total molding cost would be
Hence, Total molding cost is $197.20.
