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 is $ 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.

Our required linear equation would be

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":

Hence, our required linear equation would be

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )