Question

A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many miles Sharon can travel if she has $25 to spend.

$0.50 + $1.50x ≤ $25; x ≤ 16 miles

$0.50 + $1.50x ≥ $25; x ≥ 16 miles

$1.50 + $0.50x ≤ $25; x ≤ 47 miles

$1.50 + $0.50x ≥ $25; x ≥ 47miles
Ive narrowed it down to C & D. I get confused on the symbol part?

Answer 1

@mathtutoring22

Answer 2

@mathmale

Answer 3

@texaschic101

Answer 4

@greenlegodude57 @ForgetMeNot

Answer 5

@starryknight

Answer 6

@ASNinja

Answer 7

First, write a linear expression for the cost of the cab ride.
This cost has a fixed component ($25) and a variable component ($0.50 per additional mile) times the number of additional miles).

C(x) = ?

Answer 8

1.50 is the fee, which will be your y-intercept, it's what you start with.

Answer 9

$1.50 + $0.50x

Answer 10

0.50 will become 0.50x, where x = additional miles. And 0.50 is your slope.

Answer 11

Yes, that's it Emswizzy.

Answer 12

And it also says how far she can travel with $25. So ≤ 25

Answer 13

Nice work. Thanks for pointing out my mistake (y-intercept $25). Can you put this together? Note: what algebraic expression denotes "additional miles"?

Answer 14

@Emswizzy So what do you think is the answer?

Answer 15

We have: $1.50 + $0.50x and So ≤ 25.

Answer 16

C?

Answer 17

Yes.

Answer 18

!!Thank you so much!!!

Answer 19

No problem :)