0:00
Hello everyone.
00:01
So in this question we have given, company a, rent a car for one day is equal to $40 .15 a mile.
00:08
And company b, rent a car for one day is equal to $15 and $10 a mile.
00:14
Now we have to find the formula for the cost of renting a car for our day as a function of the distance traveled.
00:22
And then on the same axis, we have to graph both the function.
00:27
And after that, we have to find how to decide, which company is cheaper.
00:32
So now let us take, let distance traveled, distance traveled by car is equal to x miles.
00:51
Now this we have assumed.
00:53
Now we will find the formula for cost function of renting a car for both the company.
00:59
So for company a, for company a cost function that is c of x will be equal to 40 plus 15 % of x.
01:17
So this will be equal to 40 plus 15 % can be written as 15 divided by 100 of x.
01:25
Now which is equal to 40 plus 0 .15.
01:31
X.
01:32
So now this is the formula for cost of renting a car for one day for company a.
01:39
Now similarly, we will find the formula for company b.
01:45
So for company b, cost function is equal to 50 plus 10 % of x.
01:56
Now which is equal to 50 plus 10 % can be written as 10 divided by 6.
02:01
Of x which is equal to 50 plus 0 .1 x so this is the cost function of renting a car for one day for company b so therefore we can say that the formula the formula for the cost of for the cost of renting a car is c of x is equal to 40 plus 0 .15x and c of x is equal to 50 plus 0 .15x for company and b respectively.
03:03
Respectively and we will name this function as one and this function as two...