A 3-mi cab ride costs $3.00. A 6-mi cab ride costs $4.80. Find a linear equation that models cost c as a function of distance d.

Question

3 years ago

10

c = 1.00d + 1.80 d = 0.60c + 1.80 c = 0.60d + 1.20 c = 0.80d + 1.20

2 answers:

SVETLANKA909090 [29] · Answer 1 · 2022-10-30T00:10:42+03:00

6 0

Answer:

D. c = 0.60d + 1.20

Step-by-step explanation:

scZoUnD [109] · Answer 2 · 2022-10-29T22:40:29+03:00

Answer:

c=0.6d+1.2

Step-by-step explanation:

Let c the cost and d the distance. The linear equation has the form

c=md+b

the slope m can be computed by means of the given points:

(d1,c1)=(3,3)

(d2,c2)=(6,4.8)

where

$m=\frac{c2-c1}{d2-d1}$

hence

$m=\frac{4.8-3}{6-3}\\m=\frac{1.8}{3}\\m=0.6$

Now, we must find the y-intercept "b" in the equation c=0.6d+b, by using the point (3,3), that is

3=0.6(3)+b

3=1.8+b

b=3-1.8

b=1.2

Finally, the answer is

c=0.6d+1.2