As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.
Direct variation:
Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.
Direct variation equation: y = kx
Given,
A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.
Here we need to estimate how many hours it would take the restaurant to earn $25,000.
a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.
I = kh ⇒ Direct variation equation
Solve for k:
9,000 = (k)(4)
k = 9,000/4
k = 2,250
b) When income (I) = 25,000, find the number of hours:
I = kh
25,000 = (2,250) (h)
h = 25,000/2,250
h = 11.11
It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.
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Answer:
2(x-3) = y
Step-by-step explanation:
y = 1/2 x +3
To find the inverse, exchange x and y and then solve for y
Exchange x and y
x = 1/2y +3
Then solve for 3
Subtract 3 from each side
x-3 = 1/2 y -3+3
x-3 = 1/2 y
Multiply each side by 2
2 (x-3) = 1/2 *2 y
2(x-3) = y
This is the inverse
Answer: D. 74.91
One pound is 2.205 kilograms, so we can find how many kilograms are in 165 lbs by dividing 165 by 2.02.
The answer is approximately 74.91
Answer: 150 min
Step-by-step explanation:
2 hours = 120 min, 120 + 30 min = 150 min
The formula in computing the area of the circle is:
A = pi (r)^2
Where r = the radius of the circle
Since you are only given the diameter of the circle, you
have to solve for its radius. The radius of the circle is half its diameter. Therefore,
the radius of the circle is 5 (10/2).
Now, you substitute the measurements to the formula:
A = 3.14 (5)^2
A = 3.14 (25)
A = 78.5 sq. units
