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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:
5) Part A: The rate of change, also known as the slope, is the "0.6x" part of the equation. It means that for every week the puppy is alive, x, that number is multiplied by 0.6 pounds.
Part B: The y-intercept is 4 pounds, which represents a puppy being 4 pounds at birth.
Part C: y = 0.6x + 4
y = 0.6(8)+4
y = 8.8
At 8 weeks, a puppy is estimated to be 8.8 pounds.
Part D: y = 0.6x + 4
22 = 0.6 + 4
-4 -4
18 = 0.6x
18/0.6 = 0.6x/0.6
30 = x
It would take a puppy 30 weeks to reach 22 pounds.
The monthly payment for the new car is; Choice A; $279. 03
<h3>Percentages</h3>
After the down payment of 30% and financing the 8% TT&L is made; it follows that;
The rest of the payment is;
Hence, $8,897 is the payment made over the course of the duration at a finance rate of 3.16%.
Ultimately, the monthly payment is; $8,897 × 0.0316 = $279.03
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