Question

A construction company completes two projects. The first project has $3,000 in labor expenses for 60 hours worked, while the second project has $2,100 in labor expenses for 42 hours worked. The relationship between the company’s labor expenses and hours worked is linear. Which of the following would correctly calculate the y-intercept of the linear equation? Select all that apply. 3,000 = 50(60) + b 3,000 = 0.02(60) + b 60 = 50(3,000) + b 2,100 = 0.02(42) + b 2,100 = 50(42) + b 42 = 50(2,100) + b

Answer 1

Answer: The y-intercept is the value of y when x = 0. In this case, x represents the number of hours worked and y represents the labor expenses. The relationship between the company's labor expenses and hours worked is linear, which means that it can be represented by an equation in the form y = mx + b, where m is the slope and b is the y-intercept.

To calculate the y-intercept of the linear equation, we can use the formula y = mx + b and plug in the values for one of the projects. We can use either the first project or the second project, since they both represent data points on the same line. Let's use the first project:

y = mx + b

3,000 = 50(60) + b

Simplifying the equation:

3,000 = 3,000 + b

b = 0

Therefore, the correct equation to calculate the y-intercept is 3,000 = 50(60) + b. The other equations listed do not calculate the y-intercept correctly.

Explanation: