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a rental car company has a linear pricing plan

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RASTA

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21:13 Uhr, 22.11.2022

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Tag!
Would like to hear any tips about how to solve the first question.
thanks in advance, Tchüss!

a rental company has a linear pricing plan. the total cost, C, to rent a car for 2,4,6,10 days,d, is shown
what is the daily rate for the pricing plan?

20221122_140017 (2)

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pivot

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21:34 Uhr, 22.11.2022

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Hello,

it seems that the cost function is as follows: C=rd+f, where C=total cost, r=daily rate, d=number of days, f=fixed rate

Now you can set up two equations with two of the value pairs. I take the first two: (2/105),(4/195)

105=r2+f

195=r4+f

Now you can calculate the value of r and f. Start by subtracting the first equation from the second equation.

Advice: Make a check with the value pair 3 or 4.

greetings,
pivot
RASTA

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23:03 Uhr, 22.11.2022

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check this pivot and pls tell me if you find it correct

195−105=r(4)+f−(r(2)+f)
2r=90
r=45

the daily rate is 45 dollars

an equation that could represent this would be
C=45(d)+f
Cost is equal to the daily rate times the number of days of the rental plus the fixed rate.
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pivot

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23:41 Uhr, 22.11.2022

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That's right. Now you can use 105=r2+f to determine the value of f.
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walbus

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06:49 Uhr, 23.11.2022

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or this way:

C(x)=rx+f

C(2)=105
C(4)=195

2r+f=105
f=105-2r

4r+f=195
4r+(105-2r)=195
2r=90
r=45
f=15

C(x)=45x+15


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RASTA

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18:07 Uhr, 23.11.2022

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that is great / toll!. Thanks!
Frage beantwortet
RASTA

RASTA aktiv_icon

18:07 Uhr, 23.11.2022

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that is great / toll!. Thanks!
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pivot

pivot aktiv_icon

18:18 Uhr, 23.11.2022

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You're welcome.