The manager of a restaurant found that the cost to produce 100 cups of coffee is $63.00, while the cost to produce 400 cups is $213.00. Assume the relationship between the cost y to produce x cups of coffee is linear. a. Write a linear equation that expresses the cost, y, in terms of the number of cups of coffee, x. b. How many cups of coffee are produced if the cost of production is $243.00?

a. y= 0.5x+13

b. 460 cups of coffee are produced if the cost of production is $243.00.

Step-by-step explanation:

Let x= Number of cups of coffee

y= cost of x cup

a. Let y =mx+c   which is a linear equation

According to the question,

Subtract (i) from (ii), we get

Put value of m in (i), we get

Put value of m and c in the linear equation ,. we get y= 0.5x+13

b. Put y= 243

Hence, 460 cups of coffee are produced if the cost of production is $243.00.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square