Salma has just gotten a new job. The relationship between the number of hours she works, x, and her total earnings, y, is represented by the graph below.
What point on the graph represents the unit rate?
0
Number of Hours
Total Earning (in dollars)
x
y
0
Number of Hours
Total Earning (in dollars)
left bracket 25 , 1 right bracket(25 , 1)
left bracket 1 , 25 right bracket(1 , 25)
left bracket 0 , 0 right bracket(0 , 0)
left bracket 6 , 150 right bracket(6 , 150)
The point on the graph that represents the unit rate is (0,0).
The point on the graph that represents the unit rate is the one that shows the relationship between the number of hours worked and the total earnings. In this case, the point is (1, 25).
To find the point on the graph that represents the unit rate, we need to understand what a unit rate means in this context.
A unit rate is a measure of how much of one quantity corresponds to one unit of another quantity. In this case, we want to find the point on the graph where each hour of work corresponds to the earnings of one dollar.
Looking at the graph, we can see that the x-axis represents the number of hours worked and the y-axis represents the total earnings in dollars. We need to find the point where the y-coordinate (earnings) is equal to 1 dollar when the x-coordinate (hours) is equal to 1.
We can check each option given and see if it satisfies this condition:
1. (25,1): This would mean that after 25 hours of work, Salma earns 1 dollar. But we are looking for a point where 1 hour of work corresponds to 1 dollar, so this is not the unit rate.
2. (1,25): This would mean that after 1 hour of work, Salma earns 25 dollars. Again, this is not the unit rate.
3. (0,0): This would mean that Salma earns 0 dollars for 0 hours of work. Since we are looking for a unit rate, it implies that Salma does not earn anything for any amount of work, which is not the case in this scenario.
4. (6,150): This would mean that after 6 hours of work, Salma earns 150 dollars. This point does not represent a unit rate because the earnings are higher than the number of hours worked.
Therefore, the correct option is:
(0,0)
This signifies that when Salma does not work at all (0 hours), her earnings are also 0 dollars. Thus, the point (0,0) on the graph represents the unit rate in this scenario.