 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that Sandy earns 7 dollars an hour for babysitting, draw a graph for unit rate and find the numerical value of the slope. We know that slope is the rate of change between any two points on a line to find the slope of a line. We find the ratio of change in y i.e. the vertical change to change in x i.e. the horizontal change whenever a line passes through a region i.e. 0,0 There is a proportional relationship and unit rate or slope is given by changing y i.e. y-0 by changing x i.e. x-0 which is equal to y i.e. x With this key idea we shall proceed to the solution. In this question we have to draw a graph of the given statement that Sandy earns 7 dollars an hour for babysitting. That is Sandy earns 7 dollars in one hour. That is we have in one hour Sandy earns 7 dollars. It means if we double the number of hours she works then her earning will also get doubled. That is in two hours Sandy will earn 2 into 7. That is 14 dollars. Similarly if we triple the number of hours her earning will also get tripled. That is in three hours Sandy will earn 3 into 7. That is 21 dollars. So we have the following table. That is if Sandy works for an hour she earns 7 dollars. If she works for 2 hours then she earns 14 dollars. If she works for 3 hours then she earns 21 dollars. And similarly if she works for 4 hours then she earns 28 dollars. And we can see each ratio of earning to number of hours is equal to 7 by 1 which is equal to 14 by 2 which is equal to 21 by 3 and is equal to 28 upon 4. And as we see each ratio is equal to 7. So we can say the quantities are proportional. And from our key idea we know that whenever a line passes through origin there is a proportional relationship and the unit rate or slope is given by y upon x. It means its graph will pass through origin. That is 00. So let us make its graph by plotting the ordered pairs. Here we have the graph in which the horizontal axis that is the x axis shows the number of hours and the vertical axis that is the y axis shows the earning in dollars. And the ordered pairs to be plotted on the graph are 1 7, 2 14, 3 21 and 4 28. So first we shall plot the point 1 7. So here is the point 1 7. Next we plot the point 2 14. Next we have 3 21. Here is the point 3 21. And lastly we shall plot the point 4 28 on the graph. And here we have 4 28. Then we will join all the points and we get a straight line passing through the origin. Also from the key idea we know that slope is given by change in y upon change in x. So we have slope is equal to as we can see here the change in y will be given by 7 minus 0 upon change in x and change in x is given by 1 minus 0. So here we have slope as 7 minus 0 is 7 and 1 minus 0 is 1. So we have slope as 7 which is also called unit rate. Now as we can write 7 dollars per hour as 7 dollars by 1 hour. And this is also called as unit rate. It means when one unit in x axis is increased there is an increase of 7 units along y axis. Thus we get the numerical value of slope as 7 which is a required answer. This completes our session. Hope you enjoyed this session.