The manager of a restaurant found that the cost to produce 150 cups of coffee is $82.00, while the cost to produce 400 cups is $207.00. Assume the relationship between the cost y to produce x cups of coffee is linear.

a. Write a linear equation that expresses thecost, y, in terms of the number of cups ofcoffee, x.

b. How many cups of coffee are produced if the cost of production is $217.00?

a. y=______

(Use integers or decimals for any numbers in theexpression.)

b.The total number of cups produced for a cost of $217.00 is ____ cups.(Simplify youranswer.)