7 you need to rent a car and compare the charges of three...

7. You need to rent a car and compare the charges of three different companies. Company A charges 20 cents per mile plus $20 per day. Company B charges 10 cents per mile plus $35 per day. Company C charges $70 per day with no mileage charge. (a) Find formulas for the cost, in dollars, of driving cars from companies A, B, and C, in terms of x, the distance driven in miles in one day. (b) Graph the costs for each company for 0 ≤ x ≤ 500. (c) Use your graph and algebra to find circumstances (in terms of miles you will drive) under which each company is the cheapest.

Transcript

00:01 Okay, so i see that you need help with this problem, and it says you need to rent a car and compare charges of three different companies.

00:08 So we'll have company a, and i'm just going to use three different colors, company b, and then company c.

00:20 Find formulas for the cost and dollars of driving cars for companies a, b, and c in terms of x, the distance driven in miles in one day.

00:31 So for company a, i would have, so a would be y equals, they charge 20 cents a mile plus $20 per day.

00:42 So 0 .2x plus 20.

00:49 And then company b is y equals that one's 10 cents per mile plus $35.

01:02 Dollars.

01:03 Then company c, oops, b i was supposed to use blue, y equals 0 .10x plus 35.

01:21 And now i'm going to use green.

01:24 Company c charges $70 per day.

01:26 So c, and we're only doing it for one day, so y equals 70.

01:31 So graph the cost for each company, zero is less than or equal to x, which is less than or equal to 500.

01:45 So it wants us to graph, i would assume, for 500 days because x, i'm sorry, would be the mileage, okay? so if x is miles, the distance driven in miles, okay.

02:12 So i'm going to do, this is 100, 200, 300, 300, 400, 400, 500, 500.

02:24 Okay.

02:25 And then this is going to be total cost, okay? and so let's figure out first so for total cost i'm going to count up by fives so 510 15 20 25 30 35 40 40 nope i got to count by tens because of the 70 so 10 20 30 40 50 60 70 80 and this is total cost in money...

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