Question

Find a linear equation that models the cost c as a function of the distance d.
I wrote the data points to this and they are

3| 5.75
5| 8.25

How much will a 10 Mile cab ride cost?

Answer 1

are you familiar with the slope-intercept of a linear function?

y=mx+b : y will be your cost function and x will be the distance

c=md + b: m is the rate/slope and b is the c-intercept or the cost when d is equal to 0.

first thing you do is to solve for m, using the slope formula and the given data. Do you know how to do this part?

Answer 2

No i don't know how to do that part.

Answer 3

I am familiar with Slope Intercept form though.. I haven't seen C=MD, though.

Answer 4

I just replace y with c
and x with d

because based from your problem, c represents the cost and d is the distance

Answer 5

Yeah, okay. Now which pair of coordinates represent Cost and distance?

Answer 6

3| 5.75
5| 8.25

(x,y) = (d, c) = (distance, cost)
point 1: (3, 5.75)
point 2: (5, 8.25)

now you can solve the slope/rate

Answer 7

kk

Answer 8

what will you get? :)

Answer 9

I got \[3.50/-2 \]

Answer 10

5-3?
remember \(\sf x_2 -x_1\) , so you should get a positive number 2 ^_^

then simplifying it you'll get 1.25, so this is the value of your m

put this in our general equation: \(\sf c=1.25d+b\)
next thing we need to do is to solve for b, or the y-intercept (the initial cost).

To solve for b, pick any given points and plug it in the equation and solve for b.

If any confusions, don't hesitate to ask :)

Answer 11

one more thing! 8.25-5.75 is 2.5 not 3.50

Answer 12

Okay! Thanks! And How to solve for the Y-intercept?

Answer 13

@Data_LG2

Answer 14

\(\color{blue}{\text{Originally Posted by}}\) @Data_LG2
5-3?
remember \(\sf x_2 -x_1\) , so you should get a positive number 2 ^_^

then simplifying it you'll get 1.25, so this is the value of your m

put this in our general equation: \(\sf c=1.25d+b\)
next thing we need to do is to solve for b, or the y-intercept (the initial cost).

\(\sf \color{red}{\text{To solve for b}}\), pick any given points and plug it in the equation and solve for b.

If any confusions, don't hesitate to ask :)
\(\color{blue}{\text{End of Quote}}\)

Answer 15

Oh kk. How much would a ten mile cab ride cost then? That's the second part of this question.

Answer 16

first you have to make the equation before you can solve for that.

tell me what you get for b, so that we can finish the equation.