Question

Devonte creates a scatter plot of the relationship between his hourly pay in dollars, y, and the number of customers he serves at a coffee shop, x. He calculates the equation of the trend line to be y=2.5x+7.

Question 1
Part A

What does the y-intercept represent?

Enter the correct answers in the boxes.

The y-intercept represents that Devonte earns $ ___ per hour when he serves ___ customers.

Answer 1

Answer:

Step-by-step explanation:

What you need to do is replace x with a number like 1 or 2 in the Equation. Once you do that, you add the seven to the answer and that is your x intercept. Your y Intercept is the 7 in the equation.

Answer 2

y-intercept represents that Deonte earn $7 per hour when he serves 0 customers.

Linear equation:

• Linear equation represents the relation between two variables 'x' and 'y'.

        y = mx + b

        Here, m = slope of the line

        b = y-intercept

Given in the question,

• Equation of the line → y = 2.5x + 7
• Here, x = Number of customers served

         y = Hourly pay of Devonte

If x = 0,

y = 2.5(0) + 7

y = 7

     This explains the y-intercept as "hourly pay of Devonte is $7 per hour when he serves 0 customers"

Learn more about the linear equations here,

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