Answer: a) $30 b) $50 c) $20 each hour d) No, because the line does not pass through (0,0)
Step-by-step explanation:
What is Jane's pay if she doesn't work any hours? This question means how much money does Jane gets paid for working 0 hours (y-intercept). At 0 hours on the x-axis, the point on the line is $30. This can be written as (0,30)
If she works 1 hour, the point where 1 hour on the x-axis meets with the y-axis is $50 dollars. This can be written as (1,50).
Her pay increase each hour is the slope in this given equation as the starting payment before completing any hours work is $30 and the line increases at a positive rate of change. The slope is y^2-y^1 divided by x^2-x^1, and we have (0,30) and (1,50). Plugging them into the formula, 50-30 divided by 1-0 is 20; the slope is $20 for every 1-hour increase).
And for determining whether b and c are equal, every answer choice includes whether the line passes through the point (0,0). After answering problem c, you should find that your equation is y=20x+30 (20 as the slope and 30 as the y-intercept). As a reminder, b is $50 and c is $20, so you already know it is not the top two answer choices. So to see if it DOES pass through (0,0) you can plug the values into the equation OR graph it. Either way, you will see that (0,0) does not pass through the line and that 0 does not equal 30 (0=20(0)+30).