00:01
The weekly salary of brand, who is door -to -door vacuum salesman, is given by this linear function s of v equals 330 plus 95 v, where v is the number of vacants sold.
00:15
And we answer the questions based on this linear function.
00:19
So in question 1, we have to determine the slope of this function.
00:24
And for that, let's consider the general form of the linear function, which is given by y equals mx plus v.
00:31
Here, m is the slope of the linear function and b is the y intercept of the linear function.
00:40
So when we compare this with the linear function, general form of the linear function, we write the s of v.
00:48
We can write this as i put the first term 95v plus 330.
00:55
So since this function is in terms of v, we consider this coefficient of b.
01:01
As the slope of the function and then the y intercept of this linear function is 330 and so therefore the answer to the first question the slope of this linear function is 95 and this means brian earns 95 dollars per vacuum sold so therefore the answer in this box that we put is 95 dollars now let's answer the second question here we have to determine the vertical intercept this vertical intercept is also otherwise called the y intercept of the linear function which we already determine when compared with the general form of the linear function we determine that the vertical intercept or the y inters of the function is 330 and this means when there are no vacuum so we usually determine the vertical intercept by substituting we equals 0 that is s of 0 and this equals if you plug in the v equal 0 here this will be 95 times of 0 and that is 0 plus 330 so basically we get this uh order pair 0 comma 330 so this 0 refers to v and this 330 refers to s of v that is when there are no vacuums sold brian will still earn a base salary of 330.
02:35
And so therefore we can complete this statement by writing zero here.
02:41
And then the base salary is going to get is $330.
02:46
So we now read the statement if brian sells zero vacuums, he will still earn a base salary of $330.
02:56
Now let's answer this question.
02:59
This is quite easy.
03:00
We just have to replace v by 37 to evaluate s of 37.
03:07
So let me copy the s of v function and this equals 95 v plus 330.
03:16
Now we have to determine s of 37.
03:19
So replace this v by 37 and then this becomes s of 37 and this equals 95 times of 37 plus 330 and calculating this we get 3 ,845.
03:42
This is in dollars.
03:44
And this means if brian sells, we which is 37 vacuums, he will be paid $3 ,845...