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.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

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