The manager of a restaurant found that the cost to produce 150 cups of coffee is $ 20.00, while the cost to produce 400 cups i

Question

3 years ago

11

The manager of a restaurant found that the cost to produce 150 cups of coffee is $ 20.00, while the cost to produce 400 cups i

s $ 45.00. Assume the relationship between the cost y to produce x cups of coffee is linear. Write a linear equation that expresses the cost, y, in terms of the number of cups of coffee, x.

Mathematics

1 answer:

34kurt · Answer 1 · 2022-08-09T17:30:33+03:00

Answer: Our required linear equation would be $10y-x=50$

Step-by-step explanation:

Since we have given that

Number of cups = 150

Cost = $20

Number of cups = 400

Cost = $45

Let x be the number of cups, y be the cost .

We will use "Equation of line using Two point slope":

$y-20=\dfrac{45-20}{400-150}(x-150)\\\\y-20=\dfrac{25}{250}(x-150)\\\\10(y-20)=(x-150)\\\\10y-200=x-150\\\\10y-x=-150+200\\\\10y-x=50$

Hence, our required linear equation would be $10y-x=50$

The manager of a restaurant found that the cost to produce 150 cups of coffee is ​$ 20.00​, while the cost to produce 400 cups i

The manager of a restaurant found that the cost to produce 150 cups of coffee is $ 20.00, while the cost to produce 400 cups i