Question

The linear function C(m)=1.8m+5 describes the cab fare C for a ride of m miles. What is the implied domain of the linear function?

Answer 1

I'm thinking that the implied domain is the set of postive real numbers.

Answer 2

Or miles driven (which is positive real numbers)

Answer 3

I looked it up on a website and it said all real numbers.

Answer 4

Then the cab driver must be driving backwards.

Answer 5

How is that possible?

Answer 6

Cool I can make money from him, if I just can figure out how to make him drive negative miles!!

Answer 7

c(-50) = 1.8(-50) +5
he owes me $85, woo hoo!

Answer 8

I don't understand.

Answer 9

@chicashley Be realistic, if you take the taxi, do you think you pay for what called negative miles ???

Answer 10

No.

Answer 11

@directrix was right, you only pay fro real miles driven

Answer 12

so its all positive reals

Answer 13

Then what is the domain? I need a number.

Answer 14

Domain is a set of numbers for all possible values for m

Answer 15

There you go, "I looked it up on a website and it said all real numbers " can't apply in your case!

Answer 16

I still don't understand.

Answer 17

Domain = { R+ }

Answer 18

answer this question: what are the numbers I could put in for M?

Answer 19

any.

Answer 20

Could a taxi drive negative miles?

Answer 21

no.

Answer 22

okay so you have eliminated all negatives
what is the lowest number that is not negative?

Answer 23

0.

Answer 24

I mean 1.

Answer 25

yes but it starts at 0

Answer 26

ok.

Answer 27

so if you domain starts at zero is there a limit of miles you could drive?

Answer 28

no.

Answer 29

all so make a statement based on "miles start at zero and have no limit"

Answer 30

The taxi cab can go on forever.

Answer 31

okay so Domain is "All positive reals"

Answer 32

Ok.