The manager at a restaurant found that the cost to produce 150 cups of coffee is $21, while the cost to produce 300 cups of coffee is $36. 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 $56?

500 cups cost $56

Step-by-step explanation:

Given

Solving (a): Linear Equation

First, we calculate the slope (m)

Substitute right values

The equation is then calculated as:

Where

This gives:

Open bracket

Solving (b): Cups of coffees for $56

Substitute 56 for y in

Subtract 6 from both sides

Multiply both sides by 10

Hence: 500 cups cost $56

i understand 100% 10/10 hit or miss?

step-by-step explanation:

translate k to n and reflect across the line containing jk.