Question

Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service charges. Company B charges $8 per hour and an additional $40 as service charges.

Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points)

Part B: Which company would charge less for renting a truck for 8 hours? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 2 hours?

Answer 1

Hello @BELLA38

Answer 2

How would you write the equations?

Remember the form
y = mx + b

m is the slope, it's the rise/run
It's the number we're constantly changing for every single increase in x

b is our y-intercept
it's the constant

Answer 3

So for your question, we are trying to write an equation for the price of a rental truck

if we say 'm' is how much it costs per hour
and 'y' is our total cost after 'x' number of hours

then can you figure out how we would write the equation?
Don't forget to include the constant, the base starting price (our 'b' value)

Answer 4

what would the equations be?

Answer 5

That's part A.

For part B:

Once you have your equations, they're going to be in that form of
y = mx + b


And you just have to put in the values they gave you in the question as the numbers for m and b, to get your equations.

To answer part b, you just plug in 8 into x and solve for y.
You do that for both equations and you can find out which company will charge less for renting a truck for 8 hours.

Answer 6

Part 3 is similar where instead of plugging in 8, you plug in 2
But now you also have to find how much money you're saving

So you just do
Higher cost - lower cost

And that's how much money you're saving by going with the company that charges less

Answer 7

Part C** not part 3 but I'm sure you get the idea :)

Answer 8

Anyways, let me know how far you get!

Answer 9

THANKYOU!

Answer 10

My pleasure!! Also welcome to QuestionCove!!

If you want me to check your answers or want me to clarify something more, do let me know!

Answer 11

Will do , I really appreciate it !

Answer 12

@TheSmartOne 35 =7x + 30 is this correct for part A or do i have to put the 5 instead of the x?

Answer 13

104= 8x + 40 and is this correct for part b of part A?

Answer 14

or should i put the 8 instead of the x

Answer 15

I'm not sure where you got the 35 and 104

It should just be y =

And then it'll be correct

Answer 16

And that would be the equations for company A and company B respectively

Answer 17

Great thankyou !!

Answer 18

Part B : Company A would charge less, because they charge 56 for 8 hours plus the service fee of 30$making it 86 $ total & Company B charges 104$ total for 8 hours plus the 40 $ service fee..
Company A: 7x8 =56+30=86
Company B: 8x 8 =64 +40= 104

Answer 19

is that correct for part b?

Answer 20

Part C : Company A: 7 x 2= 14 +30 = 44$ for comapny A
Company B: 8 x 2= 16 + 40 =56 for company B
So we would be saving 12 $ by going with Company A instead of Company B when renting the truck for 2 hours.

Answer 21

Yup!! Good job!

Answer 22

Is this correct ? I believe so just want to make sure .. Again thank you so much for your time & help !!

Answer 23

Remember for part b to clarify which company is cheaper

And for part A to mention what x means and what y means
(I told you what this one was in one of my first responses)

Answer 24

And of course! Anytime! :)

Answer 25

Great Thank Youu !!! couldn't of done it without your help !!

Answer 26

Great thankyou couldnt of done it without your help!!

Answer 27

Of course! It was my pleasure :)