Question

A 3-mi cab ride costs $7.30. A 8-mi cab ride costs $15.30. Find a linear equation that models a relationship between cost c and distance d.
Select one:
a. c = 1.91d + 2.50
b. d = 1.60c + 8.00
c. c = 1.60d + 2.50
d. c = 2.43d + 8.00

Answer 1

Answer:

Option c) $c=1.60d+2.5$

Step-by-step explanation:

Let

d -----> the distance in miles

c ----> the cost in dollars

we have the ordered pairs

(3,7.30)  and (8,15.30)

step 1

Find the slope of the linear equation

The slope is equal to

$m=\frac{15.30-7.30}{8-3}$

$m=\frac{8}{5}$

step 2

Find the equation of the line in point slope form

$c-c1=m(d-d1)$

we have

$point\ (3,7.30)$

$m=\frac{8}{5}$

substitute

$c-7.30=\frac{8}{5}(d-3)$

$c=\frac{8}{5}d-\frac{24}{5}+7.30$

$c=1.60d+2.5$