Question

Milan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of
$59.98
and costs an additional
$0.08
per mile driven. The second plan has an initial fee of
$49.98
and costs an additional
$0.12
per mile driven. How many miles would Milan need to drive for the two plans to cost the same?

Answer 1

@jim_thompson5910

Answer 2

@Maliboo

Answer 3

@Nnesha

Answer 4

@kensclark17

Answer 5

@HeyWassup345

Answer 6

@Abhisar

Answer 7

@TheSmartOne

Answer 8

Can you make an equation out of this:
The first plan has an initial fee of $59.98 and costs an additional $0.08 per mile driven.

And can you make another equation out of this?
The second plan has an initial fee of $49.98 and costs an additional $0.12 per mile driven.

Answer 9

Thats the thing I don't know how to do that, Even if you just explained how you know to put what where and why I would have a better understanding

Answer 10

"The first plan has an initial fee of $59.98 and costs an additional $0.08 per mile driven. "

We are trying to make an equation and it will be in the form of \(\tt y=mx+b\)

So what number is the constant in here? And what is the dependent value that will change based on what x is?

Answer 11

what does constant mean?

Answer 12

Constant means it is not dependent on any other value.

For example, 64 mph is dependent on how many hours you are driving for.

Answer 13

so 59.98 is the constant

Answer 14

correct

Answer 15

So, now we have:

\(\sf y=mx+59.98\)

What is the value of m?

Answer 16

0.80

Answer 17

We can say that x will be how many ever miles are driven. :)

Answer 18

Nope, that is not correct. Look at your numbers carefully again.

Answer 19

so 0.80=mx+59.98?

Answer 20

.8 is not the correct number. That is not the number they gave you. :P

Answer 21

I'm not understanding you

Answer 22

"The first plan has an initial fee of $59.98 and costs an additional $\(\bf 0.08\) per mile driven."

Answer 23

opps i mixed the 8 & 0
sorry haha

Answer 24

so 0.08=mx+59.98 ?

Answer 25

No....

\(\sf y=.08x+59.98\)

Answer 26

Can you make the other equation based on what you were given now?

Answer 27

I asked that before and you said no lol

Answer 28

yes so the second equation should be y=0.12x+49.98

Answer 29

I said no because you had .8 not .08

Answer 30

Sorry :p

Answer 31

And your second equation is correct :)

Answer 32

ok so now how do i make them equal or the same or whatever its asking?

Answer 33

Do you know how to solve 2 equations?

Answer 34

yes, but im solving for y right?

Answer 35

"How many \(\bf miles\) would Milan need to drive for the two plans to cost the same?"

We are solving for miles, which is x. y is the overall price at the end of the ride. :)

Answer 36

ok so the 1st one should be x=-749.75+12.5y & x=-416.5+8.3y?

Answer 37

umm no.

Answer 38

:(

Answer 39

\(\sf y=.08x+59.98\)
\(\sf y=0.12x+49.98\)

Do you know how to solve a system of equations by subsituition, elimination, or graphing?

Answer 40

not really no, since i started home schooling, not having a teacher physically teaching me has caused me to completely lose all math skills i once had. :(

Answer 41

Graphing is the easiest method. Would you want to go with that method to get the answer faster? =P

Answer 42

yes please !

Answer 43

Here is the graph: https://www.desmos.com/calculator/vndao76k1l

Answer 44

At what point do the two lines intersect at?

Answer 45

The point should be \(\sf (x,y)\)

And your answer will be \(\sf x\)

Answer 46

I have no idea. :( I'm sorry